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Finding the Fourth Proportional to 16,074.28, 22,182.90 and 9,002.14

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Solution

The fourth proportional to 16,074.28, 22,182.90 and 9,002.14 is: 12,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.28 : 22,182.90 = 9,002.14 : x
  2. Step 2: Convert to fraction form
    16,074.28/22,182.90 = 9,002.14/x
  3. Step 3: Cross multiply
    16,074.28x = 22,182.90 × 9,002.14
  4. Step 4: Simplify right side
    16,074.28x = 199,693,571.41
  5. Step 5: Solve for x
    x = 199,693,571.41/16,074.28
  6. Step 6: Final answer
    x = 12,423.17

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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.