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Finding the Fourth Proportional to 22,380.96, 30,886.08 and 12,309.84

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Solution

The fourth proportional to 22,380.96, 30,886.08 and 12,309.84 is: 16,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.96 : 30,886.08 = 12,309.84 : x
  2. Step 2: Convert to fraction form
    22,380.96/30,886.08 = 12,309.84/x
  3. Step 3: Cross multiply
    22,380.96x = 30,886.08 × 12,309.84
  4. Step 4: Simplify right side
    22,380.96x = 380,202,703.03
  5. Step 5: Solve for x
    x = 380,202,703.03/22,380.96
  6. Step 6: Final answer
    x = 16,987.77

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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.