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Finding the Fourth Proportional to 16,102.25, 24,154.19 and 5,714.81

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Solution

The fourth proportional to 16,102.25, 24,154.19 and 5,714.81 is: 8,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.25 : 24,154.19 = 5,714.81 : x
  2. Step 2: Convert to fraction form
    16,102.25/24,154.19 = 5,714.81/x
  3. Step 3: Cross multiply
    16,102.25x = 24,154.19 × 5,714.81
  4. Step 4: Simplify right side
    16,102.25x = 138,036,606.55
  5. Step 5: Solve for x
    x = 138,036,606.55/16,102.25
  6. Step 6: Final answer
    x = 8,572.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.