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Finding the Fourth Proportional to 21,377.96, 29,503.38 and 11,947.40

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Solution

The fourth proportional to 21,377.96, 29,503.38 and 11,947.40 is: 16,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.96 : 29,503.38 = 11,947.40 : x
  2. Step 2: Convert to fraction form
    21,377.96/29,503.38 = 11,947.40/x
  3. Step 3: Cross multiply
    21,377.96x = 29,503.38 × 11,947.40
  4. Step 4: Simplify right side
    21,377.96x = 352,488,682.21
  5. Step 5: Solve for x
    x = 352,488,682.21/21,377.96
  6. Step 6: Final answer
    x = 16,488.42

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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.