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Finding the Fourth Proportional to 21,644.81, 29,869.86 and 12,214.25

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Solution

The fourth proportional to 21,644.81, 29,869.86 and 12,214.25 is: 16,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.81 : 29,869.86 = 12,214.25 : x
  2. Step 2: Convert to fraction form
    21,644.81/29,869.86 = 12,214.25/x
  3. Step 3: Cross multiply
    21,644.81x = 29,869.86 × 12,214.25
  4. Step 4: Simplify right side
    21,644.81x = 364,837,937.51
  5. Step 5: Solve for x
    x = 364,837,937.51/21,644.81
  6. Step 6: Final answer
    x = 16,855.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.