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Finding the Fourth Proportional to 15,954.84, 22,020.12 and 9,584.97

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Solution

The fourth proportional to 15,954.84, 22,020.12 and 9,584.97 is: 13,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.84 : 22,020.12 = 9,584.97 : x
  2. Step 2: Convert to fraction form
    15,954.84/22,020.12 = 9,584.97/x
  3. Step 3: Cross multiply
    15,954.84x = 22,020.12 × 9,584.97
  4. Step 4: Simplify right side
    15,954.84x = 211,062,189.60
  5. Step 5: Solve for x
    x = 211,062,189.60/15,954.84
  6. Step 6: Final answer
    x = 13,228.72

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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.