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Finding the Fourth Proportional to 12,927.76, 17,840.24 and 7,262.52

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Solution

The fourth proportional to 12,927.76, 17,840.24 and 7,262.52 is: 10,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.76 : 17,840.24 = 7,262.52 : x
  2. Step 2: Convert to fraction form
    12,927.76/17,840.24 = 7,262.52/x
  3. Step 3: Cross multiply
    12,927.76x = 17,840.24 × 7,262.52
  4. Step 4: Simplify right side
    12,927.76x = 129,565,099.80
  5. Step 5: Solve for x
    x = 129,565,099.80/12,927.76
  6. Step 6: Final answer
    x = 10,022.24

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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.