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Finding the Fourth Proportional to 23,113.74, 34,615.92 and 14,322

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Solution

The fourth proportional to 23,113.74, 34,615.92 and 14,322 is: 21,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.74 : 34,615.92 = 14,322 : x
  2. Step 2: Convert to fraction form
    23,113.74/34,615.92 = 14,322/x
  3. Step 3: Cross multiply
    23,113.74x = 34,615.92 × 14,322
  4. Step 4: Simplify right side
    23,113.74x = 495,769,206.24
  5. Step 5: Solve for x
    x = 495,769,206.24/23,113.74
  6. Step 6: Final answer
    x = 21,449.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.