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Finding the Fourth Proportional to 22,946.38, 31,665.51 and 12,874.64

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Solution

The fourth proportional to 22,946.38, 31,665.51 and 12,874.64 is: 17,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.38 : 31,665.51 = 12,874.64 : x
  2. Step 2: Convert to fraction form
    22,946.38/31,665.51 = 12,874.64/x
  3. Step 3: Cross multiply
    22,946.38x = 31,665.51 × 12,874.64
  4. Step 4: Simplify right side
    22,946.38x = 407,681,977.29
  5. Step 5: Solve for x
    x = 407,681,977.29/22,946.38
  6. Step 6: Final answer
    x = 17,766.72

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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.