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Finding the Fourth Proportional to 15,743.16, 21,724.86 and 9,023.97

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Solution

The fourth proportional to 15,743.16, 21,724.86 and 9,023.97 is: 12,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743.16 : 21,724.86 = 9,023.97 : x
  2. Step 2: Convert to fraction form
    15,743.16/21,724.86 = 9,023.97/x
  3. Step 3: Cross multiply
    15,743.16x = 21,724.86 × 9,023.97
  4. Step 4: Simplify right side
    15,743.16x = 196,044,484.89
  5. Step 5: Solve for x
    x = 196,044,484.89/15,743.16
  6. Step 6: Final answer
    x = 12,452.68

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1.5x scale

Why These Related Problems?

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