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Finding the Fourth Proportional to 21,205.78, 29,263 and 11,774.94

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Solution

The fourth proportional to 21,205.78, 29,263 and 11,774.94 is: 16,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.78 : 29,263 = 11,774.94 : x
  2. Step 2: Convert to fraction form
    21,205.78/29,263 = 11,774.94/x
  3. Step 3: Cross multiply
    21,205.78x = 29,263 × 11,774.94
  4. Step 4: Simplify right side
    21,205.78x = 344,570,069.22
  5. Step 5: Solve for x
    x = 344,570,069.22/21,205.78
  6. Step 6: Final answer
    x = 16,248.88

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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.