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Finding the Fourth Proportional to 23,117.70, 31,902.39 and 12,507.31

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Solution

The fourth proportional to 23,117.70, 31,902.39 and 12,507.31 is: 17,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.70 : 31,902.39 = 12,507.31 : x
  2. Step 2: Convert to fraction form
    23,117.70/31,902.39 = 12,507.31/x
  3. Step 3: Cross multiply
    23,117.70x = 31,902.39 × 12,507.31
  4. Step 4: Simplify right side
    23,117.70x = 399,013,121.35
  5. Step 5: Solve for x
    x = 399,013,121.35/23,117.70
  6. Step 6: Final answer
    x = 17,260.07

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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.