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Finding the Fourth Proportional to 12,518.32, 17,275.53 and 7,738.96

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Solution

The fourth proportional to 12,518.32, 17,275.53 and 7,738.96 is: 10,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.32 : 17,275.53 = 7,738.96 : x
  2. Step 2: Convert to fraction form
    12,518.32/17,275.53 = 7,738.96/x
  3. Step 3: Cross multiply
    12,518.32x = 17,275.53 × 7,738.96
  4. Step 4: Simplify right side
    12,518.32x = 133,694,635.65
  5. Step 5: Solve for x
    x = 133,694,635.65/12,518.32
  6. Step 6: Final answer
    x = 10,679.92

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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.