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Finding the Fourth Proportional to 12,753.65, 19,108.58 and 10,129.25

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Solution

The fourth proportional to 12,753.65, 19,108.58 and 10,129.25 is: 15,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.65 : 19,108.58 = 10,129.25 : x
  2. Step 2: Convert to fraction form
    12,753.65/19,108.58 = 10,129.25/x
  3. Step 3: Cross multiply
    12,753.65x = 19,108.58 × 10,129.25
  4. Step 4: Simplify right side
    12,753.65x = 193,555,581.09
  5. Step 5: Solve for x
    x = 193,555,581.09/12,753.65
  6. Step 6: Final answer
    x = 15,176.48

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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.