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Finding the Fourth Proportional to 16,079.16, 24,116.22 and 9,837

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Solution

The fourth proportional to 16,079.16, 24,116.22 and 9,837 is: 14,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,079.16 : 24,116.22 = 9,837 : x
  2. Step 2: Convert to fraction form
    16,079.16/24,116.22 = 9,837/x
  3. Step 3: Cross multiply
    16,079.16x = 24,116.22 × 9,837
  4. Step 4: Simplify right side
    16,079.16x = 237,231,256.14
  5. Step 5: Solve for x
    x = 237,231,256.14/16,079.16
  6. Step 6: Final answer
    x = 14,753.96

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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.