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Finding the Fourth Proportional to 22,992.96, 31,722.12 and 15,039.84

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Solution

The fourth proportional to 22,992.96, 31,722.12 and 15,039.84 is: 20,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.96 : 31,722.12 = 15,039.84 : x
  2. Step 2: Convert to fraction form
    22,992.96/31,722.12 = 15,039.84/x
  3. Step 3: Cross multiply
    22,992.96x = 31,722.12 × 15,039.84
  4. Step 4: Simplify right side
    22,992.96x = 477,095,609.26
  5. Step 5: Solve for x
    x = 477,095,609.26/22,992.96
  6. Step 6: Final answer
    x = 20,749.64

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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.