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Finding the Fourth Proportional to 24,426, 36,640.56 and 6,897.20

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Solution

The fourth proportional to 24,426, 36,640.56 and 6,897.20 is: 10,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426 : 36,640.56 = 6,897.20 : x
  2. Step 2: Convert to fraction form
    24,426/36,640.56 = 6,897.20/x
  3. Step 3: Cross multiply
    24,426x = 36,640.56 × 6,897.20
  4. Step 4: Simplify right side
    24,426x = 252,717,270.43
  5. Step 5: Solve for x
    x = 252,717,270.43/24,426
  6. Step 6: Final answer
    x = 10,346.24

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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.