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Finding the Fourth Proportional to 22,665.33, 33,988.77 and 10,182.00

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Solution

The fourth proportional to 22,665.33, 33,988.77 and 10,182.00 is: 15,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.33 : 33,988.77 = 10,182.00 : x
  2. Step 2: Convert to fraction form
    22,665.33/33,988.77 = 10,182.00/x
  3. Step 3: Cross multiply
    22,665.33x = 33,988.77 × 10,182.00
  4. Step 4: Simplify right side
    22,665.33x = 346,073,596.71
  5. Step 5: Solve for x
    x = 346,073,596.71/22,665.33
  6. Step 6: Final answer
    x = 15,268.85

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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.