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Finding the Fourth Proportional to 22,765.02, 34,151.37 and 7,182.30

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Solution

The fourth proportional to 22,765.02, 34,151.37 and 7,182.30 is: 10,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.02 : 34,151.37 = 7,182.30 : x
  2. Step 2: Convert to fraction form
    22,765.02/34,151.37 = 7,182.30/x
  3. Step 3: Cross multiply
    22,765.02x = 34,151.37 × 7,182.30
  4. Step 4: Simplify right side
    22,765.02x = 245,285,384.75
  5. Step 5: Solve for x
    x = 245,285,384.75/22,765.02
  6. Step 6: Final answer
    x = 10,774.66

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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.