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Finding the Fourth Proportional to 24,530.31, 36,784.53 and 8,937

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Solution

The fourth proportional to 24,530.31, 36,784.53 and 8,937 is: 13,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.31 : 36,784.53 = 8,937 : x
  2. Step 2: Convert to fraction form
    24,530.31/36,784.53 = 8,937/x
  3. Step 3: Cross multiply
    24,530.31x = 36,784.53 × 8,937
  4. Step 4: Simplify right side
    24,530.31x = 328,743,344.61
  5. Step 5: Solve for x
    x = 328,743,344.61/24,530.31
  6. Step 6: Final answer
    x = 13,401.52

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