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Finding the Fourth Proportional to 26,502.68, 39,753.69 and 7,782.04

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Solution

The fourth proportional to 26,502.68, 39,753.69 and 7,782.04 is: 11,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.68 : 39,753.69 = 7,782.04 : x
  2. Step 2: Convert to fraction form
    26,502.68/39,753.69 = 7,782.04/x
  3. Step 3: Cross multiply
    26,502.68x = 39,753.69 × 7,782.04
  4. Step 4: Simplify right side
    26,502.68x = 309,364,870.01
  5. Step 5: Solve for x
    x = 309,364,870.01/26,502.68
  6. Step 6: Final answer
    x = 11,672.96

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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.