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Finding the Fourth Proportional to 18,471.64, 27,703.98 and 4,963

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Solution

The fourth proportional to 18,471.64, 27,703.98 and 4,963 is: 7,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.64 : 27,703.98 = 4,963 : x
  2. Step 2: Convert to fraction form
    18,471.64/27,703.98 = 4,963/x
  3. Step 3: Cross multiply
    18,471.64x = 27,703.98 × 4,963
  4. Step 4: Simplify right side
    18,471.64x = 137,494,852.74
  5. Step 5: Solve for x
    x = 137,494,852.74/18,471.64
  6. Step 6: Final answer
    x = 7,443.56

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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.