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Finding the Fourth Proportional to 10,019.40, 15,029.16 and 4,471.44

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Solution

The fourth proportional to 10,019.40, 15,029.16 and 4,471.44 is: 6,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.40 : 15,029.16 = 4,471.44 : x
  2. Step 2: Convert to fraction form
    10,019.40/15,029.16 = 4,471.44/x
  3. Step 3: Cross multiply
    10,019.40x = 15,029.16 × 4,471.44
  4. Step 4: Simplify right side
    10,019.40x = 67,201,987.19
  5. Step 5: Solve for x
    x = 67,201,987.19/10,019.40
  6. Step 6: Final answer
    x = 6,707.19

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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.