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Finding the Fourth Proportional to 24,562.60, 36,843 and 7,032.40

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Solution

The fourth proportional to 24,562.60, 36,843 and 7,032.40 is: 10,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.60 : 36,843 = 7,032.40 : x
  2. Step 2: Convert to fraction form
    24,562.60/36,843 = 7,032.40/x
  3. Step 3: Cross multiply
    24,562.60x = 36,843 × 7,032.40
  4. Step 4: Simplify right side
    24,562.60x = 259,094,713.20
  5. Step 5: Solve for x
    x = 259,094,713.20/24,562.60
  6. Step 6: Final answer
    x = 10,548.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.