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Finding the Fourth Proportional to 21,569.40, 29,765.76 and 12,137.97

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Solution

The fourth proportional to 21,569.40, 29,765.76 and 12,137.97 is: 16,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.40 : 29,765.76 = 12,137.97 : x
  2. Step 2: Convert to fraction form
    21,569.40/29,765.76 = 12,137.97/x
  3. Step 3: Cross multiply
    21,569.40x = 29,765.76 × 12,137.97
  4. Step 4: Simplify right side
    21,569.40x = 361,295,901.91
  5. Step 5: Solve for x
    x = 361,295,901.91/21,569.40
  6. Step 6: Final answer
    x = 16,750.39

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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.