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Finding the Fourth Proportional to 26,253.50, 39,368.68 and 9,609.20

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Solution

The fourth proportional to 26,253.50, 39,368.68 and 9,609.20 is: 14,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,253.50 : 39,368.68 = 9,609.20 : x
  2. Step 2: Convert to fraction form
    26,253.50/39,368.68 = 9,609.20/x
  3. Step 3: Cross multiply
    26,253.50x = 39,368.68 × 9,609.20
  4. Step 4: Simplify right side
    26,253.50x = 378,301,519.86
  5. Step 5: Solve for x
    x = 378,301,519.86/26,253.50
  6. Step 6: Final answer
    x = 14,409.57

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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.