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Finding the Fourth Proportional to 21,217.93, 31,830.77 and 6,987.21

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Solution

The fourth proportional to 21,217.93, 31,830.77 and 6,987.21 is: 10,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.93 : 31,830.77 = 6,987.21 : x
  2. Step 2: Convert to fraction form
    21,217.93/31,830.77 = 6,987.21/x
  3. Step 3: Cross multiply
    21,217.93x = 31,830.77 × 6,987.21
  4. Step 4: Simplify right side
    21,217.93x = 222,408,239.52
  5. Step 5: Solve for x
    x = 222,408,239.52/21,217.93
  6. Step 6: Final answer
    x = 10,482.09

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