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Finding the Fourth Proportional to 17,466, 24,069.60 and 11,167.44

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Solution

The fourth proportional to 17,466, 24,069.60 and 11,167.44 is: 15,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466 : 24,069.60 = 11,167.44 : x
  2. Step 2: Convert to fraction form
    17,466/24,069.60 = 11,167.44/x
  3. Step 3: Cross multiply
    17,466x = 24,069.60 × 11,167.44
  4. Step 4: Simplify right side
    17,466x = 268,795,813.82
  5. Step 5: Solve for x
    x = 268,795,813.82/17,466
  6. Step 6: Final answer
    x = 15,389.66

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1.5x scale

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.