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Finding the Fourth Proportional to 21,414.99, 32,113.96 and 8,258.97

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Solution

The fourth proportional to 21,414.99, 32,113.96 and 8,258.97 is: 12,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.99 : 32,113.96 = 8,258.97 : x
  2. Step 2: Convert to fraction form
    21,414.99/32,113.96 = 8,258.97/x
  3. Step 3: Cross multiply
    21,414.99x = 32,113.96 × 8,258.97
  4. Step 4: Simplify right side
    21,414.99x = 265,228,232.22
  5. Step 5: Solve for x
    x = 265,228,232.22/21,414.99
  6. Step 6: Final answer
    x = 12,385.17

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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.