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Finding the Fourth Proportional to 29,654.12, 40,922.07 and 16,225.34

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Solution

The fourth proportional to 29,654.12, 40,922.07 and 16,225.34 is: 22,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.12 : 40,922.07 = 16,225.34 : x
  2. Step 2: Convert to fraction form
    29,654.12/40,922.07 = 16,225.34/x
  3. Step 3: Cross multiply
    29,654.12x = 40,922.07 × 16,225.34
  4. Step 4: Simplify right side
    29,654.12x = 663,974,499.25
  5. Step 5: Solve for x
    x = 663,974,499.25/29,654.12
  6. Step 6: Final answer
    x = 22,390.63

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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.