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Finding the Fourth Proportional to 10,019.67, 15,039.32 and 4,758.23

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Solution

The fourth proportional to 10,019.67, 15,039.32 and 4,758.23 is: 7,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.67 : 15,039.32 = 4,758.23 : x
  2. Step 2: Convert to fraction form
    10,019.67/15,039.32 = 4,758.23/x
  3. Step 3: Cross multiply
    10,019.67x = 15,039.32 × 4,758.23
  4. Step 4: Simplify right side
    10,019.67x = 71,560,444.62
  5. Step 5: Solve for x
    x = 71,560,444.62/10,019.67
  6. Step 6: Final answer
    x = 7,142.00

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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.