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Finding the Fourth Proportional to 12,551.65, 18,822 and 4,230.11

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Solution

The fourth proportional to 12,551.65, 18,822 and 4,230.11 is: 6,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.65 : 18,822 = 4,230.11 : x
  2. Step 2: Convert to fraction form
    12,551.65/18,822 = 4,230.11/x
  3. Step 3: Cross multiply
    12,551.65x = 18,822 × 4,230.11
  4. Step 4: Simplify right side
    12,551.65x = 79,619,130.42
  5. Step 5: Solve for x
    x = 79,619,130.42/12,551.65
  6. Step 6: Final answer
    x = 6,343.32

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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.