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Finding the Fourth Proportional to 21,788.73, 32,675.94 and 6,994.15

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Solution

The fourth proportional to 21,788.73, 32,675.94 and 6,994.15 is: 10,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.73 : 32,675.94 = 6,994.15 : x
  2. Step 2: Convert to fraction form
    21,788.73/32,675.94 = 6,994.15/x
  3. Step 3: Cross multiply
    21,788.73x = 32,675.94 × 6,994.15
  4. Step 4: Simplify right side
    21,788.73x = 228,540,344.06
  5. Step 5: Solve for x
    x = 228,540,344.06/21,788.73
  6. Step 6: Final answer
    x = 10,488.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.