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Finding the Fourth Proportional to 16,097.94, 22,214.25 and 9,384.66

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Solution

The fourth proportional to 16,097.94, 22,214.25 and 9,384.66 is: 12,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.94 : 22,214.25 = 9,384.66 : x
  2. Step 2: Convert to fraction form
    16,097.94/22,214.25 = 9,384.66/x
  3. Step 3: Cross multiply
    16,097.94x = 22,214.25 × 9,384.66
  4. Step 4: Simplify right side
    16,097.94x = 208,473,183.41
  5. Step 5: Solve for x
    x = 208,473,183.41/16,097.94
  6. Step 6: Final answer
    x = 12,950.30

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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.