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Finding the Fourth Proportional to 23,521.74, 35,281.94 and 6,882.18

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Solution

The fourth proportional to 23,521.74, 35,281.94 and 6,882.18 is: 10,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.74 : 35,281.94 = 6,882.18 : x
  2. Step 2: Convert to fraction form
    23,521.74/35,281.94 = 6,882.18/x
  3. Step 3: Cross multiply
    23,521.74x = 35,281.94 × 6,882.18
  4. Step 4: Simplify right side
    23,521.74x = 242,816,627.42
  5. Step 5: Solve for x
    x = 242,816,627.42/23,521.74
  6. Step 6: Final answer
    x = 10,323.07

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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.