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Finding the Fourth Proportional to 26,617.13, 39,929.34 and 9,082.25

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Solution

The fourth proportional to 26,617.13, 39,929.34 and 9,082.25 is: 13,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,617.13 : 39,929.34 = 9,082.25 : x
  2. Step 2: Convert to fraction form
    26,617.13/39,929.34 = 9,082.25/x
  3. Step 3: Cross multiply
    26,617.13x = 39,929.34 × 9,082.25
  4. Step 4: Simplify right side
    26,617.13x = 362,648,248.22
  5. Step 5: Solve for x
    x = 362,648,248.22/26,617.13
  6. Step 6: Final answer
    x = 13,624.62

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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.