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Finding the Fourth Proportional to 16,096.80, 24,116.31 and 9,853.86

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Solution

The fourth proportional to 16,096.80, 24,116.31 and 9,853.86 is: 14,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.80 : 24,116.31 = 9,853.86 : x
  2. Step 2: Convert to fraction form
    16,096.80/24,116.31 = 9,853.86/x
  3. Step 3: Cross multiply
    16,096.80x = 24,116.31 × 9,853.86
  4. Step 4: Simplify right side
    16,096.80x = 237,638,742.46
  5. Step 5: Solve for x
    x = 237,638,742.46/16,096.80
  6. Step 6: Final answer
    x = 14,763.10

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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.