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Finding the Fourth Proportional to 9,924,761.20, 13,923,009.20 and 9,924,761.20

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Solution

The fourth proportional to 9,924,761.20, 13,923,009.20 and 9,924,761.20 is: 13,923,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,761.20 : 13,923,009.20 = 9,924,761.20 : x
  2. Step 2: Convert to fraction form
    9,924,761.20/13,923,009.20 = 9,924,761.20/x
  3. Step 3: Cross multiply
    9,924,761.20x = 13,923,009.20 × 9,924,761.20
  4. Step 4: Simplify right side
    9,924,761.20x = 138,182,541,495,403.02
  5. Step 5: Solve for x
    x = 138,182,541,495,403.02/9,924,761.20
  6. Step 6: Final answer
    x = 13,923,009.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.