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Finding the Fourth Proportional to 15,766.92, 23,661.72 and 9,195.12

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Solution

The fourth proportional to 15,766.92, 23,661.72 and 9,195.12 is: 13,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.92 : 23,661.72 = 9,195.12 : x
  2. Step 2: Convert to fraction form
    15,766.92/23,661.72 = 9,195.12/x
  3. Step 3: Cross multiply
    15,766.92x = 23,661.72 × 9,195.12
  4. Step 4: Simplify right side
    15,766.92x = 217,572,354.81
  5. Step 5: Solve for x
    x = 217,572,354.81/15,766.92
  6. Step 6: Final answer
    x = 13,799.29

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1.5x scale

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.