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Finding the Fourth Proportional to 21,354.87, 31,813.50 and 21,121.59

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Solution

The fourth proportional to 21,354.87, 31,813.50 and 21,121.59 is: 31,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.87 : 31,813.50 = 21,121.59 : x
  2. Step 2: Convert to fraction form
    21,354.87/31,813.50 = 21,121.59/x
  3. Step 3: Cross multiply
    21,354.87x = 31,813.50 × 21,121.59
  4. Step 4: Simplify right side
    21,354.87x = 671,951,703.47
  5. Step 5: Solve for x
    x = 671,951,703.47/21,354.87
  6. Step 6: Final answer
    x = 31,465.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.