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Finding the Fourth Proportional to 20,605, 28,420.38 and 19,919.16

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Solution

The fourth proportional to 20,605, 28,420.38 and 19,919.16 is: 27,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605 : 28,420.38 = 19,919.16 : x
  2. Step 2: Convert to fraction form
    20,605/28,420.38 = 19,919.16/x
  3. Step 3: Cross multiply
    20,605x = 28,420.38 × 19,919.16
  4. Step 4: Simplify right side
    20,605x = 566,110,096.48
  5. Step 5: Solve for x
    x = 566,110,096.48/20,605
  6. Step 6: Final answer
    x = 27,474.40

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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.