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Finding the Fourth Proportional to 17,273.25, 25,888.56 and 8,948.47

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Solution

The fourth proportional to 17,273.25, 25,888.56 and 8,948.47 is: 13,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273.25 : 25,888.56 = 8,948.47 : x
  2. Step 2: Convert to fraction form
    17,273.25/25,888.56 = 8,948.47/x
  3. Step 3: Cross multiply
    17,273.25x = 25,888.56 × 8,948.47
  4. Step 4: Simplify right side
    17,273.25x = 231,663,002.50
  5. Step 5: Solve for x
    x = 231,663,002.50/17,273.25
  6. Step 6: Final answer
    x = 13,411.66

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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.