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Finding the Fourth Proportional to 16,433.64, 22,678.38 and 9,360

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Solution

The fourth proportional to 16,433.64, 22,678.38 and 9,360 is: 12,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.64 : 22,678.38 = 9,360 : x
  2. Step 2: Convert to fraction form
    16,433.64/22,678.38 = 9,360/x
  3. Step 3: Cross multiply
    16,433.64x = 22,678.38 × 9,360
  4. Step 4: Simplify right side
    16,433.64x = 212,269,636.80
  5. Step 5: Solve for x
    x = 212,269,636.80/16,433.64
  6. Step 6: Final answer
    x = 12,916.78

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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.