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Finding the Fourth Proportional to 26,191.50, 39,287.61 and 14,527.50

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Solution

The fourth proportional to 26,191.50, 39,287.61 and 14,527.50 is: 21,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,191.50 : 39,287.61 = 14,527.50 : x
  2. Step 2: Convert to fraction form
    26,191.50/39,287.61 = 14,527.50/x
  3. Step 3: Cross multiply
    26,191.50x = 39,287.61 × 14,527.50
  4. Step 4: Simplify right side
    26,191.50x = 570,750,754.28
  5. Step 5: Solve for x
    x = 570,750,754.28/26,191.50
  6. Step 6: Final answer
    x = 21,791.45

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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.