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Finding the Fourth Proportional to 20,196.93, 30,301.16 and 9,814.53

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Solution

The fourth proportional to 20,196.93, 30,301.16 and 9,814.53 is: 14,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.93 : 30,301.16 = 9,814.53 : x
  2. Step 2: Convert to fraction form
    20,196.93/30,301.16 = 9,814.53/x
  3. Step 3: Cross multiply
    20,196.93x = 30,301.16 × 9,814.53
  4. Step 4: Simplify right side
    20,196.93x = 297,391,594.78
  5. Step 5: Solve for x
    x = 297,391,594.78/20,196.93
  6. Step 6: Final answer
    x = 14,724.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.