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Finding the Fourth Proportional to 16,069.28, 22,169.12 and 9,785.28

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Solution

The fourth proportional to 16,069.28, 22,169.12 and 9,785.28 is: 13,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.28 : 22,169.12 = 9,785.28 : x
  2. Step 2: Convert to fraction form
    16,069.28/22,169.12 = 9,785.28/x
  3. Step 3: Cross multiply
    16,069.28x = 22,169.12 × 9,785.28
  4. Step 4: Simplify right side
    16,069.28x = 216,931,046.55
  5. Step 5: Solve for x
    x = 216,931,046.55/16,069.28
  6. Step 6: Final answer
    x = 13,499.74

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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.