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Finding the Fourth Proportional to 23,117.66, 31,902.20 and 12,507.14

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Solution

The fourth proportional to 23,117.66, 31,902.20 and 12,507.14 is: 17,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.66 : 31,902.20 = 12,507.14 : x
  2. Step 2: Convert to fraction form
    23,117.66/31,902.20 = 12,507.14/x
  3. Step 3: Cross multiply
    23,117.66x = 31,902.20 × 12,507.14
  4. Step 4: Simplify right side
    23,117.66x = 399,005,281.71
  5. Step 5: Solve for x
    x = 399,005,281.71/23,117.66
  6. Step 6: Final answer
    x = 17,259.76

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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.