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Finding the Fourth Proportional to 22,510.16, 31,062.45 and 12,438.42

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Solution

The fourth proportional to 22,510.16, 31,062.45 and 12,438.42 is: 17,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.16 : 31,062.45 = 12,438.42 : x
  2. Step 2: Convert to fraction form
    22,510.16/31,062.45 = 12,438.42/x
  3. Step 3: Cross multiply
    22,510.16x = 31,062.45 × 12,438.42
  4. Step 4: Simplify right side
    22,510.16x = 386,367,799.33
  5. Step 5: Solve for x
    x = 386,367,799.33/22,510.16
  6. Step 6: Final answer
    x = 17,164.15

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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.