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Finding the Fourth Proportional to 21,682.64, 29,921.65 and 12,251.00

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Solution

The fourth proportional to 21,682.64, 29,921.65 and 12,251.00 is: 16,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.64 : 29,921.65 = 12,251.00 : x
  2. Step 2: Convert to fraction form
    21,682.64/29,921.65 = 12,251.00/x
  3. Step 3: Cross multiply
    21,682.64x = 29,921.65 × 12,251.00
  4. Step 4: Simplify right side
    21,682.64x = 366,569,953.91
  5. Step 5: Solve for x
    x = 366,569,953.91/21,682.64
  6. Step 6: Final answer
    x = 16,906.15

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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.