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Finding the Fourth Proportional to 24,772.82, 34,191.90 and 15,692.31

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Solution

The fourth proportional to 24,772.82, 34,191.90 and 15,692.31 is: 21,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.82 : 34,191.90 = 15,692.31 : x
  2. Step 2: Convert to fraction form
    24,772.82/34,191.90 = 15,692.31/x
  3. Step 3: Cross multiply
    24,772.82x = 34,191.90 × 15,692.31
  4. Step 4: Simplify right side
    24,772.82x = 536,549,894.29
  5. Step 5: Solve for x
    x = 536,549,894.29/24,772.82
  6. Step 6: Final answer
    x = 21,658.82

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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.