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Finding the Fourth Proportional to 13,482.97, 20,224.50 and 4,122.95

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Solution

The fourth proportional to 13,482.97, 20,224.50 and 4,122.95 is: 6,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.97 : 20,224.50 = 4,122.95 : x
  2. Step 2: Convert to fraction form
    13,482.97/20,224.50 = 4,122.95/x
  3. Step 3: Cross multiply
    13,482.97x = 20,224.50 × 4,122.95
  4. Step 4: Simplify right side
    13,482.97x = 83,384,602.28
  5. Step 5: Solve for x
    x = 83,384,602.28/13,482.97
  6. Step 6: Final answer
    x = 6,184.44

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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.