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Finding the Fourth Proportional to 21,619.48, 32,429.22 and 12,379

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Solution

The fourth proportional to 21,619.48, 32,429.22 and 12,379 is: 18,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619.48 : 32,429.22 = 12,379 : x
  2. Step 2: Convert to fraction form
    21,619.48/32,429.22 = 12,379/x
  3. Step 3: Cross multiply
    21,619.48x = 32,429.22 × 12,379
  4. Step 4: Simplify right side
    21,619.48x = 401,441,314.38
  5. Step 5: Solve for x
    x = 401,441,314.38/21,619.48
  6. Step 6: Final answer
    x = 18,568.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.