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Finding the Fourth Proportional to 12,814.56, 17,688.24 and 9,082.08

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Solution

The fourth proportional to 12,814.56, 17,688.24 and 9,082.08 is: 12,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.56 : 17,688.24 = 9,082.08 : x
  2. Step 2: Convert to fraction form
    12,814.56/17,688.24 = 9,082.08/x
  3. Step 3: Cross multiply
    12,814.56x = 17,688.24 × 9,082.08
  4. Step 4: Simplify right side
    12,814.56x = 160,646,010.74
  5. Step 5: Solve for x
    x = 160,646,010.74/12,814.56
  6. Step 6: Final answer
    x = 12,536.21

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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.