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Finding the Fourth Proportional to 17,778.85, 24,535.55 and 10,225.18

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Solution

The fourth proportional to 17,778.85, 24,535.55 and 10,225.18 is: 14,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.85 : 24,535.55 = 10,225.18 : x
  2. Step 2: Convert to fraction form
    17,778.85/24,535.55 = 10,225.18/x
  3. Step 3: Cross multiply
    17,778.85x = 24,535.55 × 10,225.18
  4. Step 4: Simplify right side
    17,778.85x = 250,880,471.38
  5. Step 5: Solve for x
    x = 250,880,471.38/17,778.85
  6. Step 6: Final answer
    x = 14,111.18

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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.