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Finding the Fourth Proportional to 31,712.88, 43,763.70 and 17,565.66

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Solution

The fourth proportional to 31,712.88, 43,763.70 and 17,565.66 is: 24,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.88 : 43,763.70 = 17,565.66 : x
  2. Step 2: Convert to fraction form
    31,712.88/43,763.70 = 17,565.66/x
  3. Step 3: Cross multiply
    31,712.88x = 43,763.70 × 17,565.66
  4. Step 4: Simplify right side
    31,712.88x = 768,738,274.54
  5. Step 5: Solve for x
    x = 768,738,274.54/31,712.88
  6. Step 6: Final answer
    x = 24,240.57

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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.