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Finding the Fourth Proportional to 15,727, 21,703 and 8,653.28

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Solution

The fourth proportional to 15,727, 21,703 and 8,653.28 is: 11,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727 : 21,703 = 8,653.28 : x
  2. Step 2: Convert to fraction form
    15,727/21,703 = 8,653.28/x
  3. Step 3: Cross multiply
    15,727x = 21,703 × 8,653.28
  4. Step 4: Simplify right side
    15,727x = 187,802,135.84
  5. Step 5: Solve for x
    x = 187,802,135.84/15,727
  6. Step 6: Final answer
    x = 11,941.38

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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.