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Finding the Fourth Proportional to 16,501.20, 24,755.64 and 5,407.20

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Solution

The fourth proportional to 16,501.20, 24,755.64 and 5,407.20 is: 8,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.20 : 24,755.64 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    16,501.20/24,755.64 = 5,407.20/x
  3. Step 3: Cross multiply
    16,501.20x = 24,755.64 × 5,407.20
  4. Step 4: Simplify right side
    16,501.20x = 133,858,696.61
  5. Step 5: Solve for x
    x = 133,858,696.61/16,501.20
  6. Step 6: Final answer
    x = 8,112.06

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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.