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Finding the Fourth Proportional to 17,543, 24,220.14 and 11,266.44

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Solution

The fourth proportional to 17,543, 24,220.14 and 11,266.44 is: 15,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543 : 24,220.14 = 11,266.44 : x
  2. Step 2: Convert to fraction form
    17,543/24,220.14 = 11,266.44/x
  3. Step 3: Cross multiply
    17,543x = 24,220.14 × 11,266.44
  4. Step 4: Simplify right side
    17,543x = 272,874,754.10
  5. Step 5: Solve for x
    x = 272,874,754.10/17,543
  6. Step 6: Final answer
    x = 15,554.62

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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.