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Finding the Fourth Proportional to 10,215.74, 15,302.34 and 9,863.25

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Solution

The fourth proportional to 10,215.74, 15,302.34 and 9,863.25 is: 14,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.74 : 15,302.34 = 9,863.25 : x
  2. Step 2: Convert to fraction form
    10,215.74/15,302.34 = 9,863.25/x
  3. Step 3: Cross multiply
    10,215.74x = 15,302.34 × 9,863.25
  4. Step 4: Simplify right side
    10,215.74x = 150,930,805.01
  5. Step 5: Solve for x
    x = 150,930,805.01/10,215.74
  6. Step 6: Final answer
    x = 14,774.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.