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Finding the Fourth Proportional to 17,264.88, 25,849.80 and 8,927.28

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Solution

The fourth proportional to 17,264.88, 25,849.80 and 8,927.28 is: 13,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.88 : 25,849.80 = 8,927.28 : x
  2. Step 2: Convert to fraction form
    17,264.88/25,849.80 = 8,927.28/x
  3. Step 3: Cross multiply
    17,264.88x = 25,849.80 × 8,927.28
  4. Step 4: Simplify right side
    17,264.88x = 230,768,402.54
  5. Step 5: Solve for x
    x = 230,768,402.54/17,264.88
  6. Step 6: Final answer
    x = 13,366.35

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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.