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Finding the Fourth Proportional to 15,862.56, 21,874.32 and 9,571.20

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Solution

The fourth proportional to 15,862.56, 21,874.32 and 9,571.20 is: 13,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.56 : 21,874.32 = 9,571.20 : x
  2. Step 2: Convert to fraction form
    15,862.56/21,874.32 = 9,571.20/x
  3. Step 3: Cross multiply
    15,862.56x = 21,874.32 × 9,571.20
  4. Step 4: Simplify right side
    15,862.56x = 209,363,491.58
  5. Step 5: Solve for x
    x = 209,363,491.58/15,862.56
  6. Step 6: Final answer
    x = 13,198.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.