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Finding the Fourth Proportional to 22,335.53, 30,820.75 and 13,382.80

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Solution

The fourth proportional to 22,335.53, 30,820.75 and 13,382.80 is: 18,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.53 : 30,820.75 = 13,382.80 : x
  2. Step 2: Convert to fraction form
    22,335.53/30,820.75 = 13,382.80/x
  3. Step 3: Cross multiply
    22,335.53x = 30,820.75 × 13,382.80
  4. Step 4: Simplify right side
    22,335.53x = 412,468,071.24
  5. Step 5: Solve for x
    x = 412,468,071.24/22,335.53
  6. Step 6: Final answer
    x = 18,466.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.