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Finding the Fourth Proportional to 22,968.38, 31,690.95 and 13,032.38

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Solution

The fourth proportional to 22,968.38, 31,690.95 and 13,032.38 is: 17,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.38 : 31,690.95 = 13,032.38 : x
  2. Step 2: Convert to fraction form
    22,968.38/31,690.95 = 13,032.38/x
  3. Step 3: Cross multiply
    22,968.38x = 31,690.95 × 13,032.38
  4. Step 4: Simplify right side
    22,968.38x = 413,008,502.96
  5. Step 5: Solve for x
    x = 413,008,502.96/22,968.38
  6. Step 6: Final answer
    x = 17,981.61

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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.