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Finding the Fourth Proportional to 21,701.05, 29,948.30 and 12,748.47

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Solution

The fourth proportional to 21,701.05, 29,948.30 and 12,748.47 is: 17,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.05 : 29,948.30 = 12,748.47 : x
  2. Step 2: Convert to fraction form
    21,701.05/29,948.30 = 12,748.47/x
  3. Step 3: Cross multiply
    21,701.05x = 29,948.30 × 12,748.47
  4. Step 4: Simplify right side
    21,701.05x = 381,794,940.36
  5. Step 5: Solve for x
    x = 381,794,940.36/21,701.05
  6. Step 6: Final answer
    x = 17,593.39

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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.