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Finding the Fourth Proportional to 20,477.20, 28,726.40 and 20,477.20

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Solution

The fourth proportional to 20,477.20, 28,726.40 and 20,477.20 is: 28,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.20 : 28,726.40 = 20,477.20 : x
  2. Step 2: Convert to fraction form
    20,477.20/28,726.40 = 20,477.20/x
  3. Step 3: Cross multiply
    20,477.20x = 28,726.40 × 20,477.20
  4. Step 4: Simplify right side
    20,477.20x = 588,236,238.08
  5. Step 5: Solve for x
    x = 588,236,238.08/20,477.20
  6. Step 6: Final answer
    x = 28,726.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.