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Finding the Fourth Proportional to 20,400.96, 28,154.40 and 11,448

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Solution

The fourth proportional to 20,400.96, 28,154.40 and 11,448 is: 15,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.96 : 28,154.40 = 11,448 : x
  2. Step 2: Convert to fraction form
    20,400.96/28,154.40 = 11,448/x
  3. Step 3: Cross multiply
    20,400.96x = 28,154.40 × 11,448
  4. Step 4: Simplify right side
    20,400.96x = 322,311,571.20
  5. Step 5: Solve for x
    x = 322,311,571.20/20,400.96
  6. Step 6: Final answer
    x = 15,798.84

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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.