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Finding the Fourth Proportional to 26,146, 39,196.95 and 11,343.78

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Solution

The fourth proportional to 26,146, 39,196.95 and 11,343.78 is: 17,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,146 : 39,196.95 = 11,343.78 : x
  2. Step 2: Convert to fraction form
    26,146/39,196.95 = 11,343.78/x
  3. Step 3: Cross multiply
    26,146x = 39,196.95 × 11,343.78
  4. Step 4: Simplify right side
    26,146x = 444,641,577.47
  5. Step 5: Solve for x
    x = 444,641,577.47/26,146
  6. Step 6: Final answer
    x = 17,006.10

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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.