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Finding the Fourth Proportional to 16,102.64, 24,138.96 and 6,248.32

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Solution

The fourth proportional to 16,102.64, 24,138.96 and 6,248.32 is: 9,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.64 : 24,138.96 = 6,248.32 : x
  2. Step 2: Convert to fraction form
    16,102.64/24,138.96 = 6,248.32/x
  3. Step 3: Cross multiply
    16,102.64x = 24,138.96 × 6,248.32
  4. Step 4: Simplify right side
    16,102.64x = 150,827,946.55
  5. Step 5: Solve for x
    x = 150,827,946.55/16,102.64
  6. Step 6: Final answer
    x = 9,366.66

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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.