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Finding the Fourth Proportional to 26,952.68, 40,414.44 and 9,178.04

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Solution

The fourth proportional to 26,952.68, 40,414.44 and 9,178.04 is: 13,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.68 : 40,414.44 = 9,178.04 : x
  2. Step 2: Convert to fraction form
    26,952.68/40,414.44 = 9,178.04/x
  3. Step 3: Cross multiply
    26,952.68x = 40,414.44 × 9,178.04
  4. Step 4: Simplify right side
    26,952.68x = 370,925,346.90
  5. Step 5: Solve for x
    x = 370,925,346.90/26,952.68
  6. Step 6: Final answer
    x = 13,762.10

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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.