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Finding the Fourth Proportional to 17,876.64, 24,667.50 and 9,917.76

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Solution

The fourth proportional to 17,876.64, 24,667.50 and 9,917.76 is: 13,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.64 : 24,667.50 = 9,917.76 : x
  2. Step 2: Convert to fraction form
    17,876.64/24,667.50 = 9,917.76/x
  3. Step 3: Cross multiply
    17,876.64x = 24,667.50 × 9,917.76
  4. Step 4: Simplify right side
    17,876.64x = 244,646,344.80
  5. Step 5: Solve for x
    x = 244,646,344.80/17,876.64
  6. Step 6: Final answer
    x = 13,685.25

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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.