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Finding the Fourth Proportional to 15,766.72, 23,647.92 and 9,196

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Solution

The fourth proportional to 15,766.72, 23,647.92 and 9,196 is: 13,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.72 : 23,647.92 = 9,196 : x
  2. Step 2: Convert to fraction form
    15,766.72/23,647.92 = 9,196/x
  3. Step 3: Cross multiply
    15,766.72x = 23,647.92 × 9,196
  4. Step 4: Simplify right side
    15,766.72x = 217,466,272.32
  5. Step 5: Solve for x
    x = 217,466,272.32/15,766.72
  6. Step 6: Final answer
    x = 13,792.74

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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.