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Finding the Fourth Proportional to 16,000.85, 22,081.14 and 9,290.41

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Solution

The fourth proportional to 16,000.85, 22,081.14 and 9,290.41 is: 12,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.85 : 22,081.14 = 9,290.41 : x
  2. Step 2: Convert to fraction form
    16,000.85/22,081.14 = 9,290.41/x
  3. Step 3: Cross multiply
    16,000.85x = 22,081.14 × 9,290.41
  4. Step 4: Simplify right side
    16,000.85x = 205,142,788.66
  5. Step 5: Solve for x
    x = 205,142,788.66/16,000.85
  6. Step 6: Final answer
    x = 12,820.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.