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Finding the Fourth Proportional to 17,294.88, 23,867.34 and 9,740.61

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Solution

The fourth proportional to 17,294.88, 23,867.34 and 9,740.61 is: 13,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.88 : 23,867.34 = 9,740.61 : x
  2. Step 2: Convert to fraction form
    17,294.88/23,867.34 = 9,740.61/x
  3. Step 3: Cross multiply
    17,294.88x = 23,867.34 × 9,740.61
  4. Step 4: Simplify right side
    17,294.88x = 232,482,450.68
  5. Step 5: Solve for x
    x = 232,482,450.68/17,294.88
  6. Step 6: Final answer
    x = 13,442.27

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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.