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Finding the Fourth Proportional to 12,686.01, 17,502.42 and 7,376.46

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Solution

The fourth proportional to 12,686.01, 17,502.42 and 7,376.46 is: 10,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.01 : 17,502.42 = 7,376.46 : x
  2. Step 2: Convert to fraction form
    12,686.01/17,502.42 = 7,376.46/x
  3. Step 3: Cross multiply
    12,686.01x = 17,502.42 × 7,376.46
  4. Step 4: Simplify right side
    12,686.01x = 129,105,901.03
  5. Step 5: Solve for x
    x = 129,105,901.03/12,686.01
  6. Step 6: Final answer
    x = 10,177.03

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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.