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Finding the Fourth Proportional to 16,362.54, 24,532.86 and 6,499.17

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Solution

The fourth proportional to 16,362.54, 24,532.86 and 6,499.17 is: 9,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.54 : 24,532.86 = 6,499.17 : x
  2. Step 2: Convert to fraction form
    16,362.54/24,532.86 = 6,499.17/x
  3. Step 3: Cross multiply
    16,362.54x = 24,532.86 × 6,499.17
  4. Step 4: Simplify right side
    16,362.54x = 159,443,227.73
  5. Step 5: Solve for x
    x = 159,443,227.73/16,362.54
  6. Step 6: Final answer
    x = 9,744.41

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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.