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Finding the Fourth Proportional to 21,109.77, 31,660.47 and 6,118.65

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Solution

The fourth proportional to 21,109.77, 31,660.47 and 6,118.65 is: 9,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.77 : 31,660.47 = 6,118.65 : x
  2. Step 2: Convert to fraction form
    21,109.77/31,660.47 = 6,118.65/x
  3. Step 3: Cross multiply
    21,109.77x = 31,660.47 × 6,118.65
  4. Step 4: Simplify right side
    21,109.77x = 193,719,334.77
  5. Step 5: Solve for x
    x = 193,719,334.77/21,109.77
  6. Step 6: Final answer
    x = 9,176.76

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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.