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Finding the Fourth Proportional to 26,452.38, 39,674.24 and 9,808.50

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Solution

The fourth proportional to 26,452.38, 39,674.24 and 9,808.50 is: 14,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,452.38 : 39,674.24 = 9,808.50 : x
  2. Step 2: Convert to fraction form
    26,452.38/39,674.24 = 9,808.50/x
  3. Step 3: Cross multiply
    26,452.38x = 39,674.24 × 9,808.50
  4. Step 4: Simplify right side
    26,452.38x = 389,144,783.04
  5. Step 5: Solve for x
    x = 389,144,783.04/26,452.38
  6. Step 6: Final answer
    x = 14,711.14

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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.