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Finding the Fourth Proportional to 15,605.62, 23,419.36 and 9,022.74

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Solution

The fourth proportional to 15,605.62, 23,419.36 and 9,022.74 is: 13,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.62 : 23,419.36 = 9,022.74 : x
  2. Step 2: Convert to fraction form
    15,605.62/23,419.36 = 9,022.74/x
  3. Step 3: Cross multiply
    15,605.62x = 23,419.36 × 9,022.74
  4. Step 4: Simplify right side
    15,605.62x = 211,306,796.25
  5. Step 5: Solve for x
    x = 211,306,796.25/15,605.62
  6. Step 6: Final answer
    x = 13,540.43

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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.