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Finding the Fourth Proportional to 21,824.25, 30,116.04 and 12,869.70

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Solution

The fourth proportional to 21,824.25, 30,116.04 and 12,869.70 is: 17,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.25 : 30,116.04 = 12,869.70 : x
  2. Step 2: Convert to fraction form
    21,824.25/30,116.04 = 12,869.70/x
  3. Step 3: Cross multiply
    21,824.25x = 30,116.04 × 12,869.70
  4. Step 4: Simplify right side
    21,824.25x = 387,584,399.99
  5. Step 5: Solve for x
    x = 387,584,399.99/21,824.25
  6. Step 6: Final answer
    x = 17,759.35

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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.