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Finding the Fourth Proportional to 10,022.33, 15,050.59 and 8,354.75

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Solution

The fourth proportional to 10,022.33, 15,050.59 and 8,354.75 is: 12,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.33 : 15,050.59 = 8,354.75 : x
  2. Step 2: Convert to fraction form
    10,022.33/15,050.59 = 8,354.75/x
  3. Step 3: Cross multiply
    10,022.33x = 15,050.59 × 8,354.75
  4. Step 4: Simplify right side
    10,022.33x = 125,743,820.66
  5. Step 5: Solve for x
    x = 125,743,820.66/10,022.33
  6. Step 6: Final answer
    x = 12,546.36

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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.