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Finding the Fourth Proportional to 21,965.40, 32,904.90 and 20,410.20

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Solution

The fourth proportional to 21,965.40, 32,904.90 and 20,410.20 is: 30,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.40 : 32,904.90 = 20,410.20 : x
  2. Step 2: Convert to fraction form
    21,965.40/32,904.90 = 20,410.20/x
  3. Step 3: Cross multiply
    21,965.40x = 32,904.90 × 20,410.20
  4. Step 4: Simplify right side
    21,965.40x = 671,595,589.98
  5. Step 5: Solve for x
    x = 671,595,589.98/21,965.40
  6. Step 6: Final answer
    x = 30,575.16

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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.