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Finding the Fourth Proportional to 16,414.54, 22,649.43 and 9,341.08

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Solution

The fourth proportional to 16,414.54, 22,649.43 and 9,341.08 is: 12,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.54 : 22,649.43 = 9,341.08 : x
  2. Step 2: Convert to fraction form
    16,414.54/22,649.43 = 9,341.08/x
  3. Step 3: Cross multiply
    16,414.54x = 22,649.43 × 9,341.08
  4. Step 4: Simplify right side
    16,414.54x = 211,570,137.58
  5. Step 5: Solve for x
    x = 211,570,137.58/16,414.54
  6. Step 6: Final answer
    x = 12,889.19

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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.