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Finding the Fourth Proportional to 22,646.58, 34,019.13 and 19,694.16

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Solution

The fourth proportional to 22,646.58, 34,019.13 and 19,694.16 is: 29,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.58 : 34,019.13 = 19,694.16 : x
  2. Step 2: Convert to fraction form
    22,646.58/34,019.13 = 19,694.16/x
  3. Step 3: Cross multiply
    22,646.58x = 34,019.13 × 19,694.16
  4. Step 4: Simplify right side
    22,646.58x = 669,978,189.28
  5. Step 5: Solve for x
    x = 669,978,189.28/22,646.58
  6. Step 6: Final answer
    x = 29,584.08

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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.