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Finding the Fourth Proportional to 22,056.72, 30,446.76 and 14,105.76

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Solution

The fourth proportional to 22,056.72, 30,446.76 and 14,105.76 is: 19,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.72 : 30,446.76 = 14,105.76 : x
  2. Step 2: Convert to fraction form
    22,056.72/30,446.76 = 14,105.76/x
  3. Step 3: Cross multiply
    22,056.72x = 30,446.76 × 14,105.76
  4. Step 4: Simplify right side
    22,056.72x = 429,474,689.34
  5. Step 5: Solve for x
    x = 429,474,689.34/22,056.72
  6. Step 6: Final answer
    x = 19,471.38

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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.