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Finding the Fourth Proportional to 17,667.64, 24,402.72 and 12,880

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Solution

The fourth proportional to 17,667.64, 24,402.72 and 12,880 is: 17,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.64 : 24,402.72 = 12,880 : x
  2. Step 2: Convert to fraction form
    17,667.64/24,402.72 = 12,880/x
  3. Step 3: Cross multiply
    17,667.64x = 24,402.72 × 12,880
  4. Step 4: Simplify right side
    17,667.64x = 314,307,033.60
  5. Step 5: Solve for x
    x = 314,307,033.60/17,667.64
  6. Step 6: Final answer
    x = 17,789.98

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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.