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Finding the Fourth Proportional to 21,634.16, 29,855.08 and 11,698.16

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Solution

The fourth proportional to 21,634.16, 29,855.08 and 11,698.16 is: 16,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.16 : 29,855.08 = 11,698.16 : x
  2. Step 2: Convert to fraction form
    21,634.16/29,855.08 = 11,698.16/x
  3. Step 3: Cross multiply
    21,634.16x = 29,855.08 × 11,698.16
  4. Step 4: Simplify right side
    21,634.16x = 349,249,502.65
  5. Step 5: Solve for x
    x = 349,249,502.65/21,634.16
  6. Step 6: Final answer
    x = 16,143.43

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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.