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Finding the Fourth Proportional to 21,773.44, 30,046.44 and 12,342.56

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Solution

The fourth proportional to 21,773.44, 30,046.44 and 12,342.56 is: 17,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.44 : 30,046.44 = 12,342.56 : x
  2. Step 2: Convert to fraction form
    21,773.44/30,046.44 = 12,342.56/x
  3. Step 3: Cross multiply
    21,773.44x = 30,046.44 × 12,342.56
  4. Step 4: Simplify right side
    21,773.44x = 370,849,988.49
  5. Step 5: Solve for x
    x = 370,849,988.49/21,773.44
  6. Step 6: Final answer
    x = 17,032.22

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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.