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Finding the Fourth Proportional to 17,867.12, 24,655.75 and 9,909.16

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Solution

The fourth proportional to 17,867.12, 24,655.75 and 9,909.16 is: 13,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.12 : 24,655.75 = 9,909.16 : x
  2. Step 2: Convert to fraction form
    17,867.12/24,655.75 = 9,909.16/x
  3. Step 3: Cross multiply
    17,867.12x = 24,655.75 × 9,909.16
  4. Step 4: Simplify right side
    17,867.12x = 244,317,685.26
  5. Step 5: Solve for x
    x = 244,317,685.26/17,867.12
  6. Step 6: Final answer
    x = 13,674.15

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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.