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Finding the Fourth Proportional to 22,783.87, 34,176.84 and 6,987.75

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Solution

The fourth proportional to 22,783.87, 34,176.84 and 6,987.75 is: 10,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.87 : 34,176.84 = 6,987.75 : x
  2. Step 2: Convert to fraction form
    22,783.87/34,176.84 = 6,987.75/x
  3. Step 3: Cross multiply
    22,783.87x = 34,176.84 × 6,987.75
  4. Step 4: Simplify right side
    22,783.87x = 238,819,213.71
  5. Step 5: Solve for x
    x = 238,819,213.71/22,783.87
  6. Step 6: Final answer
    x = 10,481.94

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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.