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Finding the Fourth Proportional to 19,527.38, 26,947.82 and 10,574.90

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Solution

The fourth proportional to 19,527.38, 26,947.82 and 10,574.90 is: 14,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.38 : 26,947.82 = 10,574.90 : x
  2. Step 2: Convert to fraction form
    19,527.38/26,947.82 = 10,574.90/x
  3. Step 3: Cross multiply
    19,527.38x = 26,947.82 × 10,574.90
  4. Step 4: Simplify right side
    19,527.38x = 284,970,415.16
  5. Step 5: Solve for x
    x = 284,970,415.16/19,527.38
  6. Step 6: Final answer
    x = 14,593.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.