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Finding the Fourth Proportional to 10,019.61, 15,029.82 and 4,471.92

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Solution

The fourth proportional to 10,019.61, 15,029.82 and 4,471.92 is: 6,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.61 : 15,029.82 = 4,471.92 : x
  2. Step 2: Convert to fraction form
    10,019.61/15,029.82 = 4,471.92/x
  3. Step 3: Cross multiply
    10,019.61x = 15,029.82 × 4,471.92
  4. Step 4: Simplify right side
    10,019.61x = 67,212,152.65
  5. Step 5: Solve for x
    x = 67,212,152.65/10,019.61
  6. Step 6: Final answer
    x = 6,708.06

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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.