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Finding the Fourth Proportional to 10,019.30, 13,818.15 and 6,039.54

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Solution

The fourth proportional to 10,019.30, 13,818.15 and 6,039.54 is: 8,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.30 : 13,818.15 = 6,039.54 : x
  2. Step 2: Convert to fraction form
    10,019.30/13,818.15 = 6,039.54/x
  3. Step 3: Cross multiply
    10,019.30x = 13,818.15 × 6,039.54
  4. Step 4: Simplify right side
    10,019.30x = 83,455,269.65
  5. Step 5: Solve for x
    x = 83,455,269.65/10,019.30
  6. Step 6: Final answer
    x = 8,329.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.