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Finding the Fourth Proportional to 22,381.20, 30,883.64 and 12,948

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Solution

The fourth proportional to 22,381.20, 30,883.64 and 12,948 is: 17,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.20 : 30,883.64 = 12,948 : x
  2. Step 2: Convert to fraction form
    22,381.20/30,883.64 = 12,948/x
  3. Step 3: Cross multiply
    22,381.20x = 30,883.64 × 12,948
  4. Step 4: Simplify right side
    22,381.20x = 399,881,305.98
  5. Step 5: Solve for x
    x = 399,881,305.98/22,381.20
  6. Step 6: Final answer
    x = 17,866.84

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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.