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Finding the Fourth Proportional to 12,800.56, 17,663.02 and 7,134.63

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Solution

The fourth proportional to 12,800.56, 17,663.02 and 7,134.63 is: 9,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.56 : 17,663.02 = 7,134.63 : x
  2. Step 2: Convert to fraction form
    12,800.56/17,663.02 = 7,134.63/x
  3. Step 3: Cross multiply
    12,800.56x = 17,663.02 × 7,134.63
  4. Step 4: Simplify right side
    12,800.56x = 126,019,177.83
  5. Step 5: Solve for x
    x = 126,019,177.83/12,800.56
  6. Step 6: Final answer
    x = 9,844.82

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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.