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Finding the Fourth Proportional to 15,863.16, 23,778.54 and 5,466

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Solution

The fourth proportional to 15,863.16, 23,778.54 and 5,466 is: 8,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.16 : 23,778.54 = 5,466 : x
  2. Step 2: Convert to fraction form
    15,863.16/23,778.54 = 5,466/x
  3. Step 3: Cross multiply
    15,863.16x = 23,778.54 × 5,466
  4. Step 4: Simplify right side
    15,863.16x = 129,973,499.64
  5. Step 5: Solve for x
    x = 129,973,499.64/15,863.16
  6. Step 6: Final answer
    x = 8,193.42

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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.