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Finding the Fourth Proportional to 20,177.81, 30,266.87 and 7,030.16

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Solution

The fourth proportional to 20,177.81, 30,266.87 and 7,030.16 is: 10,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.81 : 30,266.87 = 7,030.16 : x
  2. Step 2: Convert to fraction form
    20,177.81/30,266.87 = 7,030.16/x
  3. Step 3: Cross multiply
    20,177.81x = 30,266.87 × 7,030.16
  4. Step 4: Simplify right side
    20,177.81x = 212,780,938.80
  5. Step 5: Solve for x
    x = 212,780,938.80/20,177.81
  6. Step 6: Final answer
    x = 10,545.29

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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.