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Finding the Fourth Proportional to 17,024.68, 23,494.02 and 9,470.92

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Solution

The fourth proportional to 17,024.68, 23,494.02 and 9,470.92 is: 13,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.68 : 23,494.02 = 9,470.92 : x
  2. Step 2: Convert to fraction form
    17,024.68/23,494.02 = 9,470.92/x
  3. Step 3: Cross multiply
    17,024.68x = 23,494.02 × 9,470.92
  4. Step 4: Simplify right side
    17,024.68x = 222,509,983.90
  5. Step 5: Solve for x
    x = 222,509,983.90/17,024.68
  6. Step 6: Final answer
    x = 13,069.85

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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.