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Finding the Fourth Proportional to 17,867.36, 24,657.34 and 9,909.32

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Solution

The fourth proportional to 17,867.36, 24,657.34 and 9,909.32 is: 13,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.36 : 24,657.34 = 9,909.32 : x
  2. Step 2: Convert to fraction form
    17,867.36/24,657.34 = 9,909.32/x
  3. Step 3: Cross multiply
    17,867.36x = 24,657.34 × 9,909.32
  4. Step 4: Simplify right side
    17,867.36x = 244,337,472.41
  5. Step 5: Solve for x
    x = 244,337,472.41/17,867.36
  6. Step 6: Final answer
    x = 13,675.07

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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.