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Finding the Fourth Proportional to 12,829.12, 19,200.24 and 7,901.92

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Solution

The fourth proportional to 12,829.12, 19,200.24 and 7,901.92 is: 11,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.12 : 19,200.24 = 7,901.92 : x
  2. Step 2: Convert to fraction form
    12,829.12/19,200.24 = 7,901.92/x
  3. Step 3: Cross multiply
    12,829.12x = 19,200.24 × 7,901.92
  4. Step 4: Simplify right side
    12,829.12x = 151,718,760.46
  5. Step 5: Solve for x
    x = 151,718,760.46/12,829.12
  6. Step 6: Final answer
    x = 11,826.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.