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Finding the Fourth Proportional to 22,724.70, 34,075.44 and 13,366.50

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Solution

The fourth proportional to 22,724.70, 34,075.44 and 13,366.50 is: 20,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.70 : 34,075.44 = 13,366.50 : x
  2. Step 2: Convert to fraction form
    22,724.70/34,075.44 = 13,366.50/x
  3. Step 3: Cross multiply
    22,724.70x = 34,075.44 × 13,366.50
  4. Step 4: Simplify right side
    22,724.70x = 455,469,368.76
  5. Step 5: Solve for x
    x = 455,469,368.76/22,724.70
  6. Step 6: Final answer
    x = 20,042.92

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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.