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Finding the Fourth Proportional to 24,742.50, 34,191.24 and 18,763.08

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Solution

The fourth proportional to 24,742.50, 34,191.24 and 18,763.08 is: 25,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.50 : 34,191.24 = 18,763.08 : x
  2. Step 2: Convert to fraction form
    24,742.50/34,191.24 = 18,763.08/x
  3. Step 3: Cross multiply
    24,742.50x = 34,191.24 × 18,763.08
  4. Step 4: Simplify right side
    24,742.50x = 641,532,971.42
  5. Step 5: Solve for x
    x = 641,532,971.42/24,742.50
  6. Step 6: Final answer
    x = 25,928.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.