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Finding the Fourth Proportional to 22,199.94, 33,283.44 and 13,432.77

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Solution

The fourth proportional to 22,199.94, 33,283.44 and 13,432.77 is: 20,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.94 : 33,283.44 = 13,432.77 : x
  2. Step 2: Convert to fraction form
    22,199.94/33,283.44 = 13,432.77/x
  3. Step 3: Cross multiply
    22,199.94x = 33,283.44 × 13,432.77
  4. Step 4: Simplify right side
    22,199.94x = 447,088,794.33
  5. Step 5: Solve for x
    x = 447,088,794.33/22,199.94
  6. Step 6: Final answer
    x = 20,139.19

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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.