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Finding the Fourth Proportional to 31,654.72, 43,686.16 and 17,510.40

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Solution

The fourth proportional to 31,654.72, 43,686.16 and 17,510.40 is: 24,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.72 : 43,686.16 = 17,510.40 : x
  2. Step 2: Convert to fraction form
    31,654.72/43,686.16 = 17,510.40/x
  3. Step 3: Cross multiply
    31,654.72x = 43,686.16 × 17,510.40
  4. Step 4: Simplify right side
    31,654.72x = 764,962,136.06
  5. Step 5: Solve for x
    x = 764,962,136.06/31,654.72
  6. Step 6: Final answer
    x = 24,165.82

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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.