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Finding the Fourth Proportional to 22,002.96, 32,989.08 and 10,896.08

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Solution

The fourth proportional to 22,002.96, 32,989.08 and 10,896.08 is: 16,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.96 : 32,989.08 = 10,896.08 : x
  2. Step 2: Convert to fraction form
    22,002.96/32,989.08 = 10,896.08/x
  3. Step 3: Cross multiply
    22,002.96x = 32,989.08 × 10,896.08
  4. Step 4: Simplify right side
    22,002.96x = 359,451,654.81
  5. Step 5: Solve for x
    x = 359,451,654.81/22,002.96
  6. Step 6: Final answer
    x = 16,336.51

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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.