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Finding the Fourth Proportional to 20,219.82, 30,316.02 and 7,065

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Solution

The fourth proportional to 20,219.82, 30,316.02 and 7,065 is: 10,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.82 : 30,316.02 = 7,065 : x
  2. Step 2: Convert to fraction form
    20,219.82/30,316.02 = 7,065/x
  3. Step 3: Cross multiply
    20,219.82x = 30,316.02 × 7,065
  4. Step 4: Simplify right side
    20,219.82x = 214,182,681.30
  5. Step 5: Solve for x
    x = 214,182,681.30/20,219.82
  6. Step 6: Final answer
    x = 10,592.71

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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.