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Finding the Fourth Proportional to 15,911.24, 23,706.97 and 15,017

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Solution

The fourth proportional to 15,911.24, 23,706.97 and 15,017 is: 22,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.24 : 23,706.97 = 15,017 : x
  2. Step 2: Convert to fraction form
    15,911.24/23,706.97 = 15,017/x
  3. Step 3: Cross multiply
    15,911.24x = 23,706.97 × 15,017
  4. Step 4: Simplify right side
    15,911.24x = 356,007,568.49
  5. Step 5: Solve for x
    x = 356,007,568.49/15,911.24
  6. Step 6: Final answer
    x = 22,374.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.