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Finding the Fourth Proportional to 22,754.95, 34,107.76 and 11,646.41

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Solution

The fourth proportional to 22,754.95, 34,107.76 and 11,646.41 is: 17,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.95 : 34,107.76 = 11,646.41 : x
  2. Step 2: Convert to fraction form
    22,754.95/34,107.76 = 11,646.41/x
  3. Step 3: Cross multiply
    22,754.95x = 34,107.76 × 11,646.41
  4. Step 4: Simplify right side
    22,754.95x = 397,232,801.16
  5. Step 5: Solve for x
    x = 397,232,801.16/22,754.95
  6. Step 6: Final answer
    x = 17,456.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.