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Finding the Fourth Proportional to 17,314.14, 23,894.22 and 9,760.80

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Solution

The fourth proportional to 17,314.14, 23,894.22 and 9,760.80 is: 13,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.14 : 23,894.22 = 9,760.80 : x
  2. Step 2: Convert to fraction form
    17,314.14/23,894.22 = 9,760.80/x
  3. Step 3: Cross multiply
    17,314.14x = 23,894.22 × 9,760.80
  4. Step 4: Simplify right side
    17,314.14x = 233,226,702.58
  5. Step 5: Solve for x
    x = 233,226,702.58/17,314.14
  6. Step 6: Final answer
    x = 13,470.30

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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.