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Finding the Fourth Proportional to 13,653.70, 20,482.95 and 5,648.44

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Solution

The fourth proportional to 13,653.70, 20,482.95 and 5,648.44 is: 8,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.70 : 20,482.95 = 5,648.44 : x
  2. Step 2: Convert to fraction form
    13,653.70/20,482.95 = 5,648.44/x
  3. Step 3: Cross multiply
    13,653.70x = 20,482.95 × 5,648.44
  4. Step 4: Simplify right side
    13,653.70x = 115,696,583.44
  5. Step 5: Solve for x
    x = 115,696,583.44/13,653.70
  6. Step 6: Final answer
    x = 8,473.65

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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.