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Finding the Fourth Proportional to 12,663.20, 17,473.76 and 7,285.44

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Solution

The fourth proportional to 12,663.20, 17,473.76 and 7,285.44 is: 10,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.20 : 17,473.76 = 7,285.44 : x
  2. Step 2: Convert to fraction form
    12,663.20/17,473.76 = 7,285.44/x
  3. Step 3: Cross multiply
    12,663.20x = 17,473.76 × 7,285.44
  4. Step 4: Simplify right side
    12,663.20x = 127,304,030.05
  5. Step 5: Solve for x
    x = 127,304,030.05/12,663.20
  6. Step 6: Final answer
    x = 10,053.07

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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.