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Finding the Fourth Proportional to 24,399.50, 36,569.25 and 13,878.27

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Solution

The fourth proportional to 24,399.50, 36,569.25 and 13,878.27 is: 20,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.50 : 36,569.25 = 13,878.27 : x
  2. Step 2: Convert to fraction form
    24,399.50/36,569.25 = 13,878.27/x
  3. Step 3: Cross multiply
    24,399.50x = 36,569.25 × 13,878.27
  4. Step 4: Simplify right side
    24,399.50x = 507,517,925.20
  5. Step 5: Solve for x
    x = 507,517,925.20/24,399.50
  6. Step 6: Final answer
    x = 20,800.35

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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.