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Finding the Fourth Proportional to 21,967.20, 30,314.25 and 14,011.38

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Solution

The fourth proportional to 21,967.20, 30,314.25 and 14,011.38 is: 19,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.20 : 30,314.25 = 14,011.38 : x
  2. Step 2: Convert to fraction form
    21,967.20/30,314.25 = 14,011.38/x
  3. Step 3: Cross multiply
    21,967.20x = 30,314.25 × 14,011.38
  4. Step 4: Simplify right side
    21,967.20x = 424,744,476.17
  5. Step 5: Solve for x
    x = 424,744,476.17/21,967.20
  6. Step 6: Final answer
    x = 19,335.39

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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.