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Finding the Fourth Proportional to 20,019.68, 30,013.54 and 10,017.80

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Solution

The fourth proportional to 20,019.68, 30,013.54 and 10,017.80 is: 15,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019.68 : 30,013.54 = 10,017.80 : x
  2. Step 2: Convert to fraction form
    20,019.68/30,013.54 = 10,017.80/x
  3. Step 3: Cross multiply
    20,019.68x = 30,013.54 × 10,017.80
  4. Step 4: Simplify right side
    20,019.68x = 300,669,641.01
  5. Step 5: Solve for x
    x = 300,669,641.01/20,019.68
  6. Step 6: Final answer
    x = 15,018.70

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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.