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Finding the Fourth Proportional to 21,619.17, 32,424.03 and 8,287.65

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Solution

The fourth proportional to 21,619.17, 32,424.03 and 8,287.65 is: 12,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619.17 : 32,424.03 = 8,287.65 : x
  2. Step 2: Convert to fraction form
    21,619.17/32,424.03 = 8,287.65/x
  3. Step 3: Cross multiply
    21,619.17x = 32,424.03 × 8,287.65
  4. Step 4: Simplify right side
    21,619.17x = 268,719,012.23
  5. Step 5: Solve for x
    x = 268,719,012.23/21,619.17
  6. Step 6: Final answer
    x = 12,429.66

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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.