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Finding the Fourth Proportional to 26,005.50, 39,001.73 and 7,280.69

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Solution

The fourth proportional to 26,005.50, 39,001.73 and 7,280.69 is: 10,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.50 : 39,001.73 = 7,280.69 : x
  2. Step 2: Convert to fraction form
    26,005.50/39,001.73 = 7,280.69/x
  3. Step 3: Cross multiply
    26,005.50x = 39,001.73 × 7,280.69
  4. Step 4: Simplify right side
    26,005.50x = 283,959,274.18
  5. Step 5: Solve for x
    x = 283,959,274.18/26,005.50
  6. Step 6: Final answer
    x = 10,919.20

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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.