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Finding the Fourth Proportional to 22,588.38, 33,866.13 and 9,444.48

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Solution

The fourth proportional to 22,588.38, 33,866.13 and 9,444.48 is: 14,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.38 : 33,866.13 = 9,444.48 : x
  2. Step 2: Convert to fraction form
    22,588.38/33,866.13 = 9,444.48/x
  3. Step 3: Cross multiply
    22,588.38x = 33,866.13 × 9,444.48
  4. Step 4: Simplify right side
    22,588.38x = 319,847,987.46
  5. Step 5: Solve for x
    x = 319,847,987.46/22,588.38
  6. Step 6: Final answer
    x = 14,159.85

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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.