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Finding the Fourth Proportional to 16,084.81, 22,199.39 and 9,011.71

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Solution

The fourth proportional to 16,084.81, 22,199.39 and 9,011.71 is: 12,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.81 : 22,199.39 = 9,011.71 : x
  2. Step 2: Convert to fraction form
    16,084.81/22,199.39 = 9,011.71/x
  3. Step 3: Cross multiply
    16,084.81x = 22,199.39 × 9,011.71
  4. Step 4: Simplify right side
    16,084.81x = 200,054,464.86
  5. Step 5: Solve for x
    x = 200,054,464.86/16,084.81
  6. Step 6: Final answer
    x = 12,437.48

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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.