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Finding the Fourth Proportional to 24,815.98, 34,242.19 and 14,744.16

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Solution

The fourth proportional to 24,815.98, 34,242.19 and 14,744.16 is: 20,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.98 : 34,242.19 = 14,744.16 : x
  2. Step 2: Convert to fraction form
    24,815.98/34,242.19 = 14,744.16/x
  3. Step 3: Cross multiply
    24,815.98x = 34,242.19 × 14,744.16
  4. Step 4: Simplify right side
    24,815.98x = 504,872,328.11
  5. Step 5: Solve for x
    x = 504,872,328.11/24,815.98
  6. Step 6: Final answer
    x = 20,344.65

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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.