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Finding the Fourth Proportional to 16,774.24, 23,142 and 10,805.44

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Solution

The fourth proportional to 16,774.24, 23,142 and 10,805.44 is: 14,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.24 : 23,142 = 10,805.44 : x
  2. Step 2: Convert to fraction form
    16,774.24/23,142 = 10,805.44/x
  3. Step 3: Cross multiply
    16,774.24x = 23,142 × 10,805.44
  4. Step 4: Simplify right side
    16,774.24x = 250,059,492.48
  5. Step 5: Solve for x
    x = 250,059,492.48/16,774.24
  6. Step 6: Final answer
    x = 14,907.35

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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.