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Finding the Fourth Proportional to 21,473.76, 29,633.76 and 12,042.24

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Solution

The fourth proportional to 21,473.76, 29,633.76 and 12,042.24 is: 16,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.76 : 29,633.76 = 12,042.24 : x
  2. Step 2: Convert to fraction form
    21,473.76/29,633.76 = 12,042.24/x
  3. Step 3: Cross multiply
    21,473.76x = 29,633.76 × 12,042.24
  4. Step 4: Simplify right side
    21,473.76x = 356,856,850.02
  5. Step 5: Solve for x
    x = 356,856,850.02/21,473.76
  6. Step 6: Final answer
    x = 16,618.28

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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.