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Finding the Fourth Proportional to 17,777.81, 24,530.15 and 11,486.54

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Solution

The fourth proportional to 17,777.81, 24,530.15 and 11,486.54 is: 15,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.81 : 24,530.15 = 11,486.54 : x
  2. Step 2: Convert to fraction form
    17,777.81/24,530.15 = 11,486.54/x
  3. Step 3: Cross multiply
    17,777.81x = 24,530.15 × 11,486.54
  4. Step 4: Simplify right side
    17,777.81x = 281,766,639.22
  5. Step 5: Solve for x
    x = 281,766,639.22/17,777.81
  6. Step 6: Final answer
    x = 15,849.34

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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.