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Finding the Fourth Proportional to 12,419.01, 17,138.10 and 6,753.66

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Solution

The fourth proportional to 12,419.01, 17,138.10 and 6,753.66 is: 9,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.01 : 17,138.10 = 6,753.66 : x
  2. Step 2: Convert to fraction form
    12,419.01/17,138.10 = 6,753.66/x
  3. Step 3: Cross multiply
    12,419.01x = 17,138.10 × 6,753.66
  4. Step 4: Simplify right side
    12,419.01x = 115,744,957.91
  5. Step 5: Solve for x
    x = 115,744,957.91/12,419.01
  6. Step 6: Final answer
    x = 9,319.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.