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Finding the Fourth Proportional to 16,116.39, 24,181.74 and 6,256.42

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Solution

The fourth proportional to 16,116.39, 24,181.74 and 6,256.42 is: 9,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.39 : 24,181.74 = 6,256.42 : x
  2. Step 2: Convert to fraction form
    16,116.39/24,181.74 = 6,256.42/x
  3. Step 3: Cross multiply
    16,116.39x = 24,181.74 × 6,256.42
  4. Step 4: Simplify right side
    16,116.39x = 151,291,061.32
  5. Step 5: Solve for x
    x = 151,291,061.32/16,116.39
  6. Step 6: Final answer
    x = 9,387.40

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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.