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Finding the Fourth Proportional to 14,462.64, 21,694.32 and 4,074

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Solution

The fourth proportional to 14,462.64, 21,694.32 and 4,074 is: 6,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.64 : 21,694.32 = 4,074 : x
  2. Step 2: Convert to fraction form
    14,462.64/21,694.32 = 4,074/x
  3. Step 3: Cross multiply
    14,462.64x = 21,694.32 × 4,074
  4. Step 4: Simplify right side
    14,462.64x = 88,382,659.68
  5. Step 5: Solve for x
    x = 88,382,659.68/14,462.64
  6. Step 6: Final answer
    x = 6,111.10

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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.