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Finding the Fourth Proportional to 17,867.88, 24,656.51 and 9,909.56

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Solution

The fourth proportional to 17,867.88, 24,656.51 and 9,909.56 is: 13,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.88 : 24,656.51 = 9,909.56 : x
  2. Step 2: Convert to fraction form
    17,867.88/24,656.51 = 9,909.56/x
  3. Step 3: Cross multiply
    17,867.88x = 24,656.51 × 9,909.56
  4. Step 4: Simplify right side
    17,867.88x = 244,334,992.41
  5. Step 5: Solve for x
    x = 244,334,992.41/17,867.88
  6. Step 6: Final answer
    x = 13,674.54

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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.