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Finding the Fourth Proportional to 14,480.64, 21,713.56 and 7,074

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Solution

The fourth proportional to 14,480.64, 21,713.56 and 7,074 is: 10,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.64 : 21,713.56 = 7,074 : x
  2. Step 2: Convert to fraction form
    14,480.64/21,713.56 = 7,074/x
  3. Step 3: Cross multiply
    14,480.64x = 21,713.56 × 7,074
  4. Step 4: Simplify right side
    14,480.64x = 153,601,723.44
  5. Step 5: Solve for x
    x = 153,601,723.44/14,480.64
  6. Step 6: Final answer
    x = 10,607.38

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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.