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Finding the Fourth Proportional to 26,469.01, 39,700.46 and 9,829.38

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Solution

The fourth proportional to 26,469.01, 39,700.46 and 9,829.38 is: 14,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469.01 : 39,700.46 = 9,829.38 : x
  2. Step 2: Convert to fraction form
    26,469.01/39,700.46 = 9,829.38/x
  3. Step 3: Cross multiply
    26,469.01x = 39,700.46 × 9,829.38
  4. Step 4: Simplify right side
    26,469.01x = 390,231,080.96
  5. Step 5: Solve for x
    x = 390,231,080.96/26,469.01
  6. Step 6: Final answer
    x = 14,742.94

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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.