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Finding the Fourth Proportional to 16,120.81, 22,246.70 and 9,405.14

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Solution

The fourth proportional to 16,120.81, 22,246.70 and 9,405.14 is: 12,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.81 : 22,246.70 = 9,405.14 : x
  2. Step 2: Convert to fraction form
    16,120.81/22,246.70 = 9,405.14/x
  3. Step 3: Cross multiply
    16,120.81x = 22,246.70 × 9,405.14
  4. Step 4: Simplify right side
    16,120.81x = 209,233,285.25
  5. Step 5: Solve for x
    x = 209,233,285.25/16,120.81
  6. Step 6: Final answer
    x = 12,979.08

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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.