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Finding the Fourth Proportional to 17,254.64, 25,849.13 and 8,922.17

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Solution

The fourth proportional to 17,254.64, 25,849.13 and 8,922.17 is: 13,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.64 : 25,849.13 = 8,922.17 : x
  2. Step 2: Convert to fraction form
    17,254.64/25,849.13 = 8,922.17/x
  3. Step 3: Cross multiply
    17,254.64x = 25,849.13 × 8,922.17
  4. Step 4: Simplify right side
    17,254.64x = 230,630,158.36
  5. Step 5: Solve for x
    x = 230,630,158.36/17,254.64
  6. Step 6: Final answer
    x = 13,366.27

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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.