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Finding the Fourth Proportional to 30,592.32, 42,217.50 and 17,854.26

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Solution

The fourth proportional to 30,592.32, 42,217.50 and 17,854.26 is: 24,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.32 : 42,217.50 = 17,854.26 : x
  2. Step 2: Convert to fraction form
    30,592.32/42,217.50 = 17,854.26/x
  3. Step 3: Cross multiply
    30,592.32x = 42,217.50 × 17,854.26
  4. Step 4: Simplify right side
    30,592.32x = 753,762,221.55
  5. Step 5: Solve for x
    x = 753,762,221.55/30,592.32
  6. Step 6: Final answer
    x = 24,638.94

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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.