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Finding the Fourth Proportional to 20,123.90, 27,415.16 and 20,123.90

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Solution

The fourth proportional to 20,123.90, 27,415.16 and 20,123.90 is: 27,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.90 : 27,415.16 = 20,123.90 : x
  2. Step 2: Convert to fraction form
    20,123.90/27,415.16 = 20,123.90/x
  3. Step 3: Cross multiply
    20,123.90x = 27,415.16 × 20,123.90
  4. Step 4: Simplify right side
    20,123.90x = 551,699,938.32
  5. Step 5: Solve for x
    x = 551,699,938.32/20,123.90
  6. Step 6: Final answer
    x = 27,415.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.