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Finding the Fourth Proportional to 12,715.16, 17,540.67 and 11,034.20

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Solution

The fourth proportional to 12,715.16, 17,540.67 and 11,034.20 is: 15,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.16 : 17,540.67 = 11,034.20 : x
  2. Step 2: Convert to fraction form
    12,715.16/17,540.67 = 11,034.20/x
  3. Step 3: Cross multiply
    12,715.16x = 17,540.67 × 11,034.20
  4. Step 4: Simplify right side
    12,715.16x = 193,547,260.91
  5. Step 5: Solve for x
    x = 193,547,260.91/12,715.16
  6. Step 6: Final answer
    x = 15,221.77

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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.