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Finding the Fourth Proportional to 22,039.71, 30,414.63 and 11,967.96

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Solution

The fourth proportional to 22,039.71, 30,414.63 and 11,967.96 is: 16,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039.71 : 30,414.63 = 11,967.96 : x
  2. Step 2: Convert to fraction form
    22,039.71/30,414.63 = 11,967.96/x
  3. Step 3: Cross multiply
    22,039.71x = 30,414.63 × 11,967.96
  4. Step 4: Simplify right side
    22,039.71x = 364,001,075.25
  5. Step 5: Solve for x
    x = 364,001,075.25/22,039.71
  6. Step 6: Final answer
    x = 16,515.69

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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.