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Finding the Fourth Proportional to 21,873.65, 32,808.27 and 7,833.11

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Solution

The fourth proportional to 21,873.65, 32,808.27 and 7,833.11 is: 11,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.65 : 32,808.27 = 7,833.11 : x
  2. Step 2: Convert to fraction form
    21,873.65/32,808.27 = 7,833.11/x
  3. Step 3: Cross multiply
    21,873.65x = 32,808.27 × 7,833.11
  4. Step 4: Simplify right side
    21,873.65x = 256,990,653.15
  5. Step 5: Solve for x
    x = 256,990,653.15/21,873.65
  6. Step 6: Final answer
    x = 11,748.87

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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.