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Finding the Fourth Proportional to 12,801.23, 17,663.54 and 7,134.74

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Solution

The fourth proportional to 12,801.23, 17,663.54 and 7,134.74 is: 9,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.23 : 17,663.54 = 7,134.74 : x
  2. Step 2: Convert to fraction form
    12,801.23/17,663.54 = 7,134.74/x
  3. Step 3: Cross multiply
    12,801.23x = 17,663.54 × 7,134.74
  4. Step 4: Simplify right side
    12,801.23x = 126,024,694.90
  5. Step 5: Solve for x
    x = 126,024,694.90/12,801.23
  6. Step 6: Final answer
    x = 9,844.74

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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.