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Finding the Fourth Proportional to 20,138.49, 27,801.16 and 12,589.02

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Solution

The fourth proportional to 20,138.49, 27,801.16 and 12,589.02 is: 17,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.49 : 27,801.16 = 12,589.02 : x
  2. Step 2: Convert to fraction form
    20,138.49/27,801.16 = 12,589.02/x
  3. Step 3: Cross multiply
    20,138.49x = 27,801.16 × 12,589.02
  4. Step 4: Simplify right side
    20,138.49x = 349,989,327.79
  5. Step 5: Solve for x
    x = 349,989,327.79/20,138.49
  6. Step 6: Final answer
    x = 17,379.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.