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Finding the Fourth Proportional to 16,288.61, 22,478.36 and 9,214.88

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Solution

The fourth proportional to 16,288.61, 22,478.36 and 9,214.88 is: 12,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.61 : 22,478.36 = 9,214.88 : x
  2. Step 2: Convert to fraction form
    16,288.61/22,478.36 = 9,214.88/x
  3. Step 3: Cross multiply
    16,288.61x = 22,478.36 × 9,214.88
  4. Step 4: Simplify right side
    16,288.61x = 207,135,390.00
  5. Step 5: Solve for x
    x = 207,135,390.00/16,288.61
  6. Step 6: Final answer
    x = 12,716.58

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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.