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Finding the Fourth Proportional to 22,000.28, 32,992.30 and 9,522.12

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Solution

The fourth proportional to 22,000.28, 32,992.30 and 9,522.12 is: 14,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.28 : 32,992.30 = 9,522.12 : x
  2. Step 2: Convert to fraction form
    22,000.28/32,992.30 = 9,522.12/x
  3. Step 3: Cross multiply
    22,000.28x = 32,992.30 × 9,522.12
  4. Step 4: Simplify right side
    22,000.28x = 314,156,639.68
  5. Step 5: Solve for x
    x = 314,156,639.68/22,000.28
  6. Step 6: Final answer
    x = 14,279.67

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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.