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Finding the Fourth Proportional to 22,016.70, 33,025 and 10,931.14

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Solution

The fourth proportional to 22,016.70, 33,025 and 10,931.14 is: 16,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.70 : 33,025 = 10,931.14 : x
  2. Step 2: Convert to fraction form
    22,016.70/33,025 = 10,931.14/x
  3. Step 3: Cross multiply
    22,016.70x = 33,025 × 10,931.14
  4. Step 4: Simplify right side
    22,016.70x = 361,000,898.50
  5. Step 5: Solve for x
    x = 361,000,898.50/22,016.70
  6. Step 6: Final answer
    x = 16,396.69

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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.