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Finding the Fourth Proportional to 14,692.32, 20,285.88 and 9,034.62

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Solution

The fourth proportional to 14,692.32, 20,285.88 and 9,034.62 is: 12,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.32 : 20,285.88 = 9,034.62 : x
  2. Step 2: Convert to fraction form
    14,692.32/20,285.88 = 9,034.62/x
  3. Step 3: Cross multiply
    14,692.32x = 20,285.88 × 9,034.62
  4. Step 4: Simplify right side
    14,692.32x = 183,275,217.17
  5. Step 5: Solve for x
    x = 183,275,217.17/14,692.32
  6. Step 6: Final answer
    x = 12,474.22

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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.