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Finding the Fourth Proportional to 17,920.49, 26,877.70 and 5,437.50

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Solution

The fourth proportional to 17,920.49, 26,877.70 and 5,437.50 is: 8,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.49 : 26,877.70 = 5,437.50 : x
  2. Step 2: Convert to fraction form
    17,920.49/26,877.70 = 5,437.50/x
  3. Step 3: Cross multiply
    17,920.49x = 26,877.70 × 5,437.50
  4. Step 4: Simplify right side
    17,920.49x = 146,147,493.75
  5. Step 5: Solve for x
    x = 146,147,493.75/17,920.49
  6. Step 6: Final answer
    x = 8,155.33

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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.