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Finding the Fourth Proportional to 12,792.18, 19,152.84 and 6,538.72

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Solution

The fourth proportional to 12,792.18, 19,152.84 and 6,538.72 is: 9,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.18 : 19,152.84 = 6,538.72 : x
  2. Step 2: Convert to fraction form
    12,792.18/19,152.84 = 6,538.72/x
  3. Step 3: Cross multiply
    12,792.18x = 19,152.84 × 6,538.72
  4. Step 4: Simplify right side
    12,792.18x = 125,235,057.39
  5. Step 5: Solve for x
    x = 125,235,057.39/12,792.18
  6. Step 6: Final answer
    x = 9,789.97

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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.