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Finding the Fourth Proportional to 26,110.68, 39,166.02 and 7,642.68

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Solution

The fourth proportional to 26,110.68, 39,166.02 and 7,642.68 is: 11,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,110.68 : 39,166.02 = 7,642.68 : x
  2. Step 2: Convert to fraction form
    26,110.68/39,166.02 = 7,642.68/x
  3. Step 3: Cross multiply
    26,110.68x = 39,166.02 × 7,642.68
  4. Step 4: Simplify right side
    26,110.68x = 299,333,357.73
  5. Step 5: Solve for x
    x = 299,333,357.73/26,110.68
  6. Step 6: Final answer
    x = 11,464.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.