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Finding the Fourth Proportional to 17,584.38, 26,373.69 and 5,269.50

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Solution

The fourth proportional to 17,584.38, 26,373.69 and 5,269.50 is: 7,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.38 : 26,373.69 = 5,269.50 : x
  2. Step 2: Convert to fraction form
    17,584.38/26,373.69 = 5,269.50/x
  3. Step 3: Cross multiply
    17,584.38x = 26,373.69 × 5,269.50
  4. Step 4: Simplify right side
    17,584.38x = 138,976,159.46
  5. Step 5: Solve for x
    x = 138,976,159.46/17,584.38
  6. Step 6: Final answer
    x = 7,903.39

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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.