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Finding the Fourth Proportional to 27,772.71, 41,658.87 and 11,132.51

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Solution

The fourth proportional to 27,772.71, 41,658.87 and 11,132.51 is: 16,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.71 : 41,658.87 = 11,132.51 : x
  2. Step 2: Convert to fraction form
    27,772.71/41,658.87 = 11,132.51/x
  3. Step 3: Cross multiply
    27,772.71x = 41,658.87 × 11,132.51
  4. Step 4: Simplify right side
    27,772.71x = 463,767,620.32
  5. Step 5: Solve for x
    x = 463,767,620.32/27,772.71
  6. Step 6: Final answer
    x = 16,698.68

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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.