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Finding the Fourth Proportional to 17,257.66, 25,892.65 and 9,868.34

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Solution

The fourth proportional to 17,257.66, 25,892.65 and 9,868.34 is: 14,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.66 : 25,892.65 = 9,868.34 : x
  2. Step 2: Convert to fraction form
    17,257.66/25,892.65 = 9,868.34/x
  3. Step 3: Cross multiply
    17,257.66x = 25,892.65 × 9,868.34
  4. Step 4: Simplify right side
    17,257.66x = 255,517,349.61
  5. Step 5: Solve for x
    x = 255,517,349.61/17,257.66
  6. Step 6: Final answer
    x = 14,806.02

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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.