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Finding the Fourth Proportional to 17,264.81, 23,824.91 and 9,711.56

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Solution

The fourth proportional to 17,264.81, 23,824.91 and 9,711.56 is: 13,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.81 : 23,824.91 = 9,711.56 : x
  2. Step 2: Convert to fraction form
    17,264.81/23,824.91 = 9,711.56/x
  3. Step 3: Cross multiply
    17,264.81x = 23,824.91 × 9,711.56
  4. Step 4: Simplify right side
    17,264.81x = 231,376,948.11
  5. Step 5: Solve for x
    x = 231,376,948.11/17,264.81
  6. Step 6: Final answer
    x = 13,401.65

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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.