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Finding the Fourth Proportional to 12,463.95, 17,200.80 and 7,160.43

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Solution

The fourth proportional to 12,463.95, 17,200.80 and 7,160.43 is: 9,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.95 : 17,200.80 = 7,160.43 : x
  2. Step 2: Convert to fraction form
    12,463.95/17,200.80 = 7,160.43/x
  3. Step 3: Cross multiply
    12,463.95x = 17,200.80 × 7,160.43
  4. Step 4: Simplify right side
    12,463.95x = 123,165,124.34
  5. Step 5: Solve for x
    x = 123,165,124.34/12,463.95
  6. Step 6: Final answer
    x = 9,881.71

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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.