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Finding the Fourth Proportional to 20,448.95, 28,219.52 and 11,496.47

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Solution

The fourth proportional to 20,448.95, 28,219.52 and 11,496.47 is: 15,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.95 : 28,219.52 = 11,496.47 : x
  2. Step 2: Convert to fraction form
    20,448.95/28,219.52 = 11,496.47/x
  3. Step 3: Cross multiply
    20,448.95x = 28,219.52 × 11,496.47
  4. Step 4: Simplify right side
    20,448.95x = 324,424,964.38
  5. Step 5: Solve for x
    x = 324,424,964.38/20,448.95
  6. Step 6: Final answer
    x = 15,865.11

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Why These Related Problems?

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