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Finding the Fourth Proportional to 12,842.66, 17,724.15 and 7,537.37

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Solution

The fourth proportional to 12,842.66, 17,724.15 and 7,537.37 is: 10,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.66 : 17,724.15 = 7,537.37 : x
  2. Step 2: Convert to fraction form
    12,842.66/17,724.15 = 7,537.37/x
  3. Step 3: Cross multiply
    12,842.66x = 17,724.15 × 7,537.37
  4. Step 4: Simplify right side
    12,842.66x = 133,593,387.86
  5. Step 5: Solve for x
    x = 133,593,387.86/12,842.66
  6. Step 6: Final answer
    x = 10,402.31

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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.