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Finding the Fourth Proportional to 16,387.84, 22,616.22 and 9,315.64

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Solution

The fourth proportional to 16,387.84, 22,616.22 and 9,315.64 is: 12,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.84 : 22,616.22 = 9,315.64 : x
  2. Step 2: Convert to fraction form
    16,387.84/22,616.22 = 9,315.64/x
  3. Step 3: Cross multiply
    16,387.84x = 22,616.22 × 9,315.64
  4. Step 4: Simplify right side
    16,387.84x = 210,684,563.68
  5. Step 5: Solve for x
    x = 210,684,563.68/16,387.84
  6. Step 6: Final answer
    x = 12,856.15

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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.