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Finding the Fourth Proportional to 22,288.38, 30,758.72 and 12,216.81

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Solution

The fourth proportional to 22,288.38, 30,758.72 and 12,216.81 is: 16,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.38 : 30,758.72 = 12,216.81 : x
  2. Step 2: Convert to fraction form
    22,288.38/30,758.72 = 12,216.81/x
  3. Step 3: Cross multiply
    22,288.38x = 30,758.72 × 12,216.81
  4. Step 4: Simplify right side
    22,288.38x = 375,773,492.34
  5. Step 5: Solve for x
    x = 375,773,492.34/22,288.38
  6. Step 6: Final answer
    x = 16,859.62

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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.