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Finding the Fourth Proportional to 22,781.40, 31,438.38 and 12,710.52

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Solution

The fourth proportional to 22,781.40, 31,438.38 and 12,710.52 is: 17,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.40 : 31,438.38 = 12,710.52 : x
  2. Step 2: Convert to fraction form
    22,781.40/31,438.38 = 12,710.52/x
  3. Step 3: Cross multiply
    22,781.40x = 31,438.38 × 12,710.52
  4. Step 4: Simplify right side
    22,781.40x = 399,598,157.76
  5. Step 5: Solve for x
    x = 399,598,157.76/22,781.40
  6. Step 6: Final answer
    x = 17,540.54

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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.