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Finding the Fourth Proportional to 24,632.19, 36,941.55 and 8,834.29

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Solution

The fourth proportional to 24,632.19, 36,941.55 and 8,834.29 is: 13,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.19 : 36,941.55 = 8,834.29 : x
  2. Step 2: Convert to fraction form
    24,632.19/36,941.55 = 8,834.29/x
  3. Step 3: Cross multiply
    24,632.19x = 36,941.55 × 8,834.29
  4. Step 4: Simplify right side
    24,632.19x = 326,352,365.75
  5. Step 5: Solve for x
    x = 326,352,365.75/24,632.19
  6. Step 6: Final answer
    x = 13,249.02

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Why These Related Problems?

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