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Finding the Fourth Proportional to 16,162.14, 22,301.95 and 9,088.41

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Solution

The fourth proportional to 16,162.14, 22,301.95 and 9,088.41 is: 12,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.14 : 22,301.95 = 9,088.41 : x
  2. Step 2: Convert to fraction form
    16,162.14/22,301.95 = 9,088.41/x
  3. Step 3: Cross multiply
    16,162.14x = 22,301.95 × 9,088.41
  4. Step 4: Simplify right side
    16,162.14x = 202,689,265.40
  5. Step 5: Solve for x
    x = 202,689,265.40/16,162.14
  6. Step 6: Final answer
    x = 12,540.99

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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.