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Finding the Fourth Proportional to 14,590.13, 20,138.02 and 8,306.15

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Solution

The fourth proportional to 14,590.13, 20,138.02 and 8,306.15 is: 11,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.13 : 20,138.02 = 8,306.15 : x
  2. Step 2: Convert to fraction form
    14,590.13/20,138.02 = 8,306.15/x
  3. Step 3: Cross multiply
    14,590.13x = 20,138.02 × 8,306.15
  4. Step 4: Simplify right side
    14,590.13x = 167,269,293.37
  5. Step 5: Solve for x
    x = 167,269,293.37/14,590.13
  6. Step 6: Final answer
    x = 11,464.56

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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.