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Finding the Fourth Proportional to 21,993.40, 32,894.10 and 19,670.20

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Solution

The fourth proportional to 21,993.40, 32,894.10 and 19,670.20 is: 29,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.40 : 32,894.10 = 19,670.20 : x
  2. Step 2: Convert to fraction form
    21,993.40/32,894.10 = 19,670.20/x
  3. Step 3: Cross multiply
    21,993.40x = 32,894.10 × 19,670.20
  4. Step 4: Simplify right side
    21,993.40x = 647,033,525.82
  5. Step 5: Solve for x
    x = 647,033,525.82/21,993.40
  6. Step 6: Final answer
    x = 29,419.44

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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.