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Finding the Fourth Proportional to 22,381.94, 30,884.67 and 12,948.74

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Solution

The fourth proportional to 22,381.94, 30,884.67 and 12,948.74 is: 17,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.94 : 30,884.67 = 12,948.74 : x
  2. Step 2: Convert to fraction form
    22,381.94/30,884.67 = 12,948.74/x
  3. Step 3: Cross multiply
    22,381.94x = 30,884.67 × 12,948.74
  4. Step 4: Simplify right side
    22,381.94x = 399,917,407.39
  5. Step 5: Solve for x
    x = 399,917,407.39/22,381.94
  6. Step 6: Final answer
    x = 17,867.87

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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.