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Finding the Fourth Proportional to 24,807.50, 34,234.21 and 13,476.90

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Solution

The fourth proportional to 24,807.50, 34,234.21 and 13,476.90 is: 18,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.50 : 34,234.21 = 13,476.90 : x
  2. Step 2: Convert to fraction form
    24,807.50/34,234.21 = 13,476.90/x
  3. Step 3: Cross multiply
    24,807.50x = 34,234.21 × 13,476.90
  4. Step 4: Simplify right side
    24,807.50x = 461,371,024.75
  5. Step 5: Solve for x
    x = 461,371,024.75/24,807.50
  6. Step 6: Final answer
    x = 18,598.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.