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Finding the Fourth Proportional to 10,145.74, 15,131.83 and 9,793.03

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Solution

The fourth proportional to 10,145.74, 15,131.83 and 9,793.03 is: 14,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.74 : 15,131.83 = 9,793.03 : x
  2. Step 2: Convert to fraction form
    10,145.74/15,131.83 = 9,793.03/x
  3. Step 3: Cross multiply
    10,145.74x = 15,131.83 × 9,793.03
  4. Step 4: Simplify right side
    10,145.74x = 148,186,465.14
  5. Step 5: Solve for x
    x = 148,186,465.14/10,145.74
  6. Step 6: Final answer
    x = 14,605.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.