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Finding the Fourth Proportional to 12,861.98, 17,753.12 and 7,485.47

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Solution

The fourth proportional to 12,861.98, 17,753.12 and 7,485.47 is: 10,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.98 : 17,753.12 = 7,485.47 : x
  2. Step 2: Convert to fraction form
    12,861.98/17,753.12 = 7,485.47/x
  3. Step 3: Cross multiply
    12,861.98x = 17,753.12 × 7,485.47
  4. Step 4: Simplify right side
    12,861.98x = 132,890,447.17
  5. Step 5: Solve for x
    x = 132,890,447.17/12,861.98
  6. Step 6: Final answer
    x = 10,332.04

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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.