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Finding the Fourth Proportional to 20,578.64, 28,398.56 and 11,147.20

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Solution

The fourth proportional to 20,578.64, 28,398.56 and 11,147.20 is: 15,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.64 : 28,398.56 = 11,147.20 : x
  2. Step 2: Convert to fraction form
    20,578.64/28,398.56 = 11,147.20/x
  3. Step 3: Cross multiply
    20,578.64x = 28,398.56 × 11,147.20
  4. Step 4: Simplify right side
    20,578.64x = 316,564,428.03
  5. Step 5: Solve for x
    x = 316,564,428.03/20,578.64
  6. Step 6: Final answer
    x = 15,383.16

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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.