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Finding the Fourth Proportional to 23,117.59, 31,902.22 and 12,507.40

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Solution

The fourth proportional to 23,117.59, 31,902.22 and 12,507.40 is: 17,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.59 : 31,902.22 = 12,507.40 : x
  2. Step 2: Convert to fraction form
    23,117.59/31,902.22 = 12,507.40/x
  3. Step 3: Cross multiply
    23,117.59x = 31,902.22 × 12,507.40
  4. Step 4: Simplify right side
    23,117.59x = 399,013,826.43
  5. Step 5: Solve for x
    x = 399,013,826.43/23,117.59
  6. Step 6: Final answer
    x = 17,260.18

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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.