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Finding the Fourth Proportional to 16,539.52, 24,809.28 and 6,407.68

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Solution

The fourth proportional to 16,539.52, 24,809.28 and 6,407.68 is: 9,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.52 : 24,809.28 = 6,407.68 : x
  2. Step 2: Convert to fraction form
    16,539.52/24,809.28 = 6,407.68/x
  3. Step 3: Cross multiply
    16,539.52x = 24,809.28 × 6,407.68
  4. Step 4: Simplify right side
    16,539.52x = 158,969,927.27
  5. Step 5: Solve for x
    x = 158,969,927.27/16,539.52
  6. Step 6: Final answer
    x = 9,611.52

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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.