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Finding the Fourth Proportional to 16,466, 22,723.65 and 9,014

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Solution

The fourth proportional to 16,466, 22,723.65 and 9,014 is: 12,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466 : 22,723.65 = 9,014 : x
  2. Step 2: Convert to fraction form
    16,466/22,723.65 = 9,014/x
  3. Step 3: Cross multiply
    16,466x = 22,723.65 × 9,014
  4. Step 4: Simplify right side
    16,466x = 204,830,981.10
  5. Step 5: Solve for x
    x = 204,830,981.10/16,466
  6. Step 6: Final answer
    x = 12,439.63

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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.