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Finding the Fourth Proportional to 16,584.83, 22,886.11 and 9,132.83

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Solution

The fourth proportional to 16,584.83, 22,886.11 and 9,132.83 is: 12,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.83 : 22,886.11 = 9,132.83 : x
  2. Step 2: Convert to fraction form
    16,584.83/22,886.11 = 9,132.83/x
  3. Step 3: Cross multiply
    16,584.83x = 22,886.11 × 9,132.83
  4. Step 4: Simplify right side
    16,584.83x = 209,014,951.99
  5. Step 5: Solve for x
    x = 209,014,951.99/16,584.83
  6. Step 6: Final answer
    x = 12,602.78

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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.