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Finding the Fourth Proportional to 21,730.78, 29,987.71 and 12,299.14

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Solution

The fourth proportional to 21,730.78, 29,987.71 and 12,299.14 is: 16,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.78 : 29,987.71 = 12,299.14 : x
  2. Step 2: Convert to fraction form
    21,730.78/29,987.71 = 12,299.14/x
  3. Step 3: Cross multiply
    21,730.78x = 29,987.71 × 12,299.14
  4. Step 4: Simplify right side
    21,730.78x = 368,823,043.57
  5. Step 5: Solve for x
    x = 368,823,043.57/21,730.78
  6. Step 6: Final answer
    x = 16,972.38

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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.