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Finding the Fourth Proportional to 21,987.80, 30,343.09 and 11,916.49

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Solution

The fourth proportional to 21,987.80, 30,343.09 and 11,916.49 is: 16,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.80 : 30,343.09 = 11,916.49 : x
  2. Step 2: Convert to fraction form
    21,987.80/30,343.09 = 11,916.49/x
  3. Step 3: Cross multiply
    21,987.80x = 30,343.09 × 11,916.49
  4. Step 4: Simplify right side
    21,987.80x = 361,583,237.75
  5. Step 5: Solve for x
    x = 361,583,237.75/21,987.80
  6. Step 6: Final answer
    x = 16,444.72

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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.