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Finding the Fourth Proportional to 27,005.69, 40,508.55 and 7,284.26

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Solution

The fourth proportional to 27,005.69, 40,508.55 and 7,284.26 is: 10,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.69 : 40,508.55 = 7,284.26 : x
  2. Step 2: Convert to fraction form
    27,005.69/40,508.55 = 7,284.26/x
  3. Step 3: Cross multiply
    27,005.69x = 40,508.55 × 7,284.26
  4. Step 4: Simplify right side
    27,005.69x = 295,074,571.46
  5. Step 5: Solve for x
    x = 295,074,571.46/27,005.69
  6. Step 6: Final answer
    x = 10,926.39

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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.