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Finding the Fourth Proportional to 22,633.20, 33,955.20 and 11,541.60

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Solution

The fourth proportional to 22,633.20, 33,955.20 and 11,541.60 is: 17,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.20 : 33,955.20 = 11,541.60 : x
  2. Step 2: Convert to fraction form
    22,633.20/33,955.20 = 11,541.60/x
  3. Step 3: Cross multiply
    22,633.20x = 33,955.20 × 11,541.60
  4. Step 4: Simplify right side
    22,633.20x = 391,897,336.32
  5. Step 5: Solve for x
    x = 391,897,336.32/22,633.20
  6. Step 6: Final answer
    x = 17,315.15

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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.