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Finding the Fourth Proportional to 16,209.71, 22,371.18 and 9,405.23

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Solution

The fourth proportional to 16,209.71, 22,371.18 and 9,405.23 is: 12,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.71 : 22,371.18 = 9,405.23 : x
  2. Step 2: Convert to fraction form
    16,209.71/22,371.18 = 9,405.23/x
  3. Step 3: Cross multiply
    16,209.71x = 22,371.18 × 9,405.23
  4. Step 4: Simplify right side
    16,209.71x = 210,406,093.27
  5. Step 5: Solve for x
    x = 210,406,093.27/16,209.71
  6. Step 6: Final answer
    x = 12,980.25

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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.