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Finding the Fourth Proportional to 12,686.76, 17,507.70 and 7,381.89

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Solution

The fourth proportional to 12,686.76, 17,507.70 and 7,381.89 is: 10,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.76 : 17,507.70 = 7,381.89 : x
  2. Step 2: Convert to fraction form
    12,686.76/17,507.70 = 7,381.89/x
  3. Step 3: Cross multiply
    12,686.76x = 17,507.70 × 7,381.89
  4. Step 4: Simplify right side
    12,686.76x = 129,239,915.55
  5. Step 5: Solve for x
    x = 129,239,915.55/12,686.76
  6. Step 6: Final answer
    x = 10,186.99

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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.