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Finding the Fourth Proportional to 26,615.38, 39,926.72 and 9,080.50

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Solution

The fourth proportional to 26,615.38, 39,926.72 and 9,080.50 is: 13,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,615.38 : 39,926.72 = 9,080.50 : x
  2. Step 2: Convert to fraction form
    26,615.38/39,926.72 = 9,080.50/x
  3. Step 3: Cross multiply
    26,615.38x = 39,926.72 × 9,080.50
  4. Step 4: Simplify right side
    26,615.38x = 362,554,535.56
  5. Step 5: Solve for x
    x = 362,554,535.56/26,615.38
  6. Step 6: Final answer
    x = 13,621.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.