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Finding the Fourth Proportional to 21,698.88, 29,936.16 and 16,047.24

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Solution

The fourth proportional to 21,698.88, 29,936.16 and 16,047.24 is: 22,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.88 : 29,936.16 = 16,047.24 : x
  2. Step 2: Convert to fraction form
    21,698.88/29,936.16 = 16,047.24/x
  3. Step 3: Cross multiply
    21,698.88x = 29,936.16 × 16,047.24
  4. Step 4: Simplify right side
    21,698.88x = 480,392,744.20
  5. Step 5: Solve for x
    x = 480,392,744.20/21,698.88
  6. Step 6: Final answer
    x = 22,139.06

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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.