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Finding the Fourth Proportional to 24,295.56, 36,433.89 and 9,502.80

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Solution

The fourth proportional to 24,295.56, 36,433.89 and 9,502.80 is: 14,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295.56 : 36,433.89 = 9,502.80 : x
  2. Step 2: Convert to fraction form
    24,295.56/36,433.89 = 9,502.80/x
  3. Step 3: Cross multiply
    24,295.56x = 36,433.89 × 9,502.80
  4. Step 4: Simplify right side
    24,295.56x = 346,223,969.89
  5. Step 5: Solve for x
    x = 346,223,969.89/24,295.56
  6. Step 6: Final answer
    x = 14,250.50

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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.