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Finding the Fourth Proportional to 14,866, 22,309.86 and 11,979.16

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Solution

The fourth proportional to 14,866, 22,309.86 and 11,979.16 is: 17,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866 : 22,309.86 = 11,979.16 : x
  2. Step 2: Convert to fraction form
    14,866/22,309.86 = 11,979.16/x
  3. Step 3: Cross multiply
    14,866x = 22,309.86 × 11,979.16
  4. Step 4: Simplify right side
    14,866x = 267,253,382.52
  5. Step 5: Solve for x
    x = 267,253,382.52/14,866
  6. Step 6: Final answer
    x = 17,977.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.