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Finding the Fourth Proportional to 22,646.84, 31,252.14 and 12,574.71

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Solution

The fourth proportional to 22,646.84, 31,252.14 and 12,574.71 is: 17,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.84 : 31,252.14 = 12,574.71 : x
  2. Step 2: Convert to fraction form
    22,646.84/31,252.14 = 12,574.71/x
  3. Step 3: Cross multiply
    22,646.84x = 31,252.14 × 12,574.71
  4. Step 4: Simplify right side
    22,646.84x = 392,986,597.38
  5. Step 5: Solve for x
    x = 392,986,597.38/22,646.84
  6. Step 6: Final answer
    x = 17,352.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.