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Finding the Fourth Proportional to 16,478.52, 24,714.36 and 6,083.16

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Solution

The fourth proportional to 16,478.52, 24,714.36 and 6,083.16 is: 9,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.52 : 24,714.36 = 6,083.16 : x
  2. Step 2: Convert to fraction form
    16,478.52/24,714.36 = 6,083.16/x
  3. Step 3: Cross multiply
    16,478.52x = 24,714.36 × 6,083.16
  4. Step 4: Simplify right side
    16,478.52x = 150,341,406.18
  5. Step 5: Solve for x
    x = 150,341,406.18/16,478.52
  6. Step 6: Final answer
    x = 9,123.48

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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.