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Finding the Fourth Proportional to 16,284.65, 22,468.54 and 9,384.12

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Solution

The fourth proportional to 16,284.65, 22,468.54 and 9,384.12 is: 12,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.65 : 22,468.54 = 9,384.12 : x
  2. Step 2: Convert to fraction form
    16,284.65/22,468.54 = 9,384.12/x
  3. Step 3: Cross multiply
    16,284.65x = 22,468.54 × 9,384.12
  4. Step 4: Simplify right side
    16,284.65x = 210,847,452.12
  5. Step 5: Solve for x
    x = 210,847,452.12/16,284.65
  6. Step 6: Final answer
    x = 12,947.62

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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.