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Finding the Fourth Proportional to 22,646.68, 31,251.81 and 12,574.82

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Solution

The fourth proportional to 22,646.68, 31,251.81 and 12,574.82 is: 17,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.68 : 31,251.81 = 12,574.82 : x
  2. Step 2: Convert to fraction form
    22,646.68/31,251.81 = 12,574.82/x
  3. Step 3: Cross multiply
    22,646.68x = 31,251.81 × 12,574.82
  4. Step 4: Simplify right side
    22,646.68x = 392,985,885.42
  5. Step 5: Solve for x
    x = 392,985,885.42/22,646.68
  6. Step 6: Final answer
    x = 17,352.91

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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.