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Finding the Fourth Proportional to 22,295.20, 30,810 and 16,696.48

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Solution

The fourth proportional to 22,295.20, 30,810 and 16,696.48 is: 23,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.20 : 30,810 = 16,696.48 : x
  2. Step 2: Convert to fraction form
    22,295.20/30,810 = 16,696.48/x
  3. Step 3: Cross multiply
    22,295.20x = 30,810 × 16,696.48
  4. Step 4: Simplify right side
    22,295.20x = 514,418,548.80
  5. Step 5: Solve for x
    x = 514,418,548.80/22,295.20
  6. Step 6: Final answer
    x = 23,073.06

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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.