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Finding the Fourth Proportional to 22,594.46, 31,176.82 and 13,034.70

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Solution

The fourth proportional to 22,594.46, 31,176.82 and 13,034.70 is: 17,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.46 : 31,176.82 = 13,034.70 : x
  2. Step 2: Convert to fraction form
    22,594.46/31,176.82 = 13,034.70/x
  3. Step 3: Cross multiply
    22,594.46x = 31,176.82 × 13,034.70
  4. Step 4: Simplify right side
    22,594.46x = 406,380,628.86
  5. Step 5: Solve for x
    x = 406,380,628.86/22,594.46
  6. Step 6: Final answer
    x = 17,985.85

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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.