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Finding the Fourth Proportional to 17,867.46, 24,657.06 and 9,909.48

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Solution

The fourth proportional to 17,867.46, 24,657.06 and 9,909.48 is: 13,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.46 : 24,657.06 = 9,909.48 : x
  2. Step 2: Convert to fraction form
    17,867.46/24,657.06 = 9,909.48/x
  3. Step 3: Cross multiply
    17,867.46x = 24,657.06 × 9,909.48
  4. Step 4: Simplify right side
    17,867.46x = 244,338,642.93
  5. Step 5: Solve for x
    x = 244,338,642.93/17,867.46
  6. Step 6: Final answer
    x = 13,675.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.