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Finding the Fourth Proportional to 22,510.47, 31,062.85 and 12,438.80

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Solution

The fourth proportional to 22,510.47, 31,062.85 and 12,438.80 is: 17,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.47 : 31,062.85 = 12,438.80 : x
  2. Step 2: Convert to fraction form
    22,510.47/31,062.85 = 12,438.80/x
  3. Step 3: Cross multiply
    22,510.47x = 31,062.85 × 12,438.80
  4. Step 4: Simplify right side
    22,510.47x = 386,384,578.58
  5. Step 5: Solve for x
    x = 386,384,578.58/22,510.47
  6. Step 6: Final answer
    x = 17,164.66

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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.