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Finding the Fourth Proportional to 20,103.78, 30,132.99 and 9,703.38

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Solution

The fourth proportional to 20,103.78, 30,132.99 and 9,703.38 is: 14,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.78 : 30,132.99 = 9,703.38 : x
  2. Step 2: Convert to fraction form
    20,103.78/30,132.99 = 9,703.38/x
  3. Step 3: Cross multiply
    20,103.78x = 30,132.99 × 9,703.38
  4. Step 4: Simplify right side
    20,103.78x = 292,391,852.51
  5. Step 5: Solve for x
    x = 292,391,852.51/20,103.78
  6. Step 6: Final answer
    x = 14,544.12

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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.