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Finding the Fourth Proportional to 17,191.76, 23,732.40 and 10,827.70

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Solution

The fourth proportional to 17,191.76, 23,732.40 and 10,827.70 is: 14,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191.76 : 23,732.40 = 10,827.70 : x
  2. Step 2: Convert to fraction form
    17,191.76/23,732.40 = 10,827.70/x
  3. Step 3: Cross multiply
    17,191.76x = 23,732.40 × 10,827.70
  4. Step 4: Simplify right side
    17,191.76x = 256,967,296.54
  5. Step 5: Solve for x
    x = 256,967,296.54/17,191.76
  6. Step 6: Final answer
    x = 14,947.12

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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.