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Finding the Fourth Proportional to 21,816, 30,106.08 and 11,880

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Solution

The fourth proportional to 21,816, 30,106.08 and 11,880 is: 16,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 30,106.08 = 11,880 : x
  2. Step 2: Convert to fraction form
    21,816/30,106.08 = 11,880/x
  3. Step 3: Cross multiply
    21,816x = 30,106.08 × 11,880
  4. Step 4: Simplify right side
    21,816x = 357,660,230.40
  5. Step 5: Solve for x
    x = 357,660,230.40/21,816
  6. Step 6: Final answer
    x = 16,394.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.