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Finding the Fourth Proportional to 16,530.68, 22,812.44 and 8,977.03

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Solution

The fourth proportional to 16,530.68, 22,812.44 and 8,977.03 is: 12,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.68 : 22,812.44 = 8,977.03 : x
  2. Step 2: Convert to fraction form
    16,530.68/22,812.44 = 8,977.03/x
  3. Step 3: Cross multiply
    16,530.68x = 22,812.44 × 8,977.03
  4. Step 4: Simplify right side
    16,530.68x = 204,787,856.34
  5. Step 5: Solve for x
    x = 204,787,856.34/16,530.68
  6. Step 6: Final answer
    x = 12,388.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.