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Finding the Fourth Proportional to 24,806.75, 34,233.72 and 14,202.23

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Solution

The fourth proportional to 24,806.75, 34,233.72 and 14,202.23 is: 19,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.75 : 34,233.72 = 14,202.23 : x
  2. Step 2: Convert to fraction form
    24,806.75/34,233.72 = 14,202.23/x
  3. Step 3: Cross multiply
    24,806.75x = 34,233.72 × 14,202.23
  4. Step 4: Simplify right side
    24,806.75x = 486,195,165.20
  5. Step 5: Solve for x
    x = 486,195,165.20/24,806.75
  6. Step 6: Final answer
    x = 19,599.31

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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.