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Finding the Fourth Proportional to 24,513.30, 36,721.35 and 13,400.10

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Solution

The fourth proportional to 24,513.30, 36,721.35 and 13,400.10 is: 20,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.30 : 36,721.35 = 13,400.10 : x
  2. Step 2: Convert to fraction form
    24,513.30/36,721.35 = 13,400.10/x
  3. Step 3: Cross multiply
    24,513.30x = 36,721.35 × 13,400.10
  4. Step 4: Simplify right side
    24,513.30x = 492,069,762.14
  5. Step 5: Solve for x
    x = 492,069,762.14/24,513.30
  6. Step 6: Final answer
    x = 20,073.58

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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.