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Finding the Fourth Proportional to 12,705.48, 19,062.18 and 5,691.42

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Solution

The fourth proportional to 12,705.48, 19,062.18 and 5,691.42 is: 8,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.48 : 19,062.18 = 5,691.42 : x
  2. Step 2: Convert to fraction form
    12,705.48/19,062.18 = 5,691.42/x
  3. Step 3: Cross multiply
    12,705.48x = 19,062.18 × 5,691.42
  4. Step 4: Simplify right side
    12,705.48x = 108,490,872.50
  5. Step 5: Solve for x
    x = 108,490,872.50/12,705.48
  6. Step 6: Final answer
    x = 8,538.90

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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.