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Finding the Fourth Proportional to 14,876, 22,301.28 and 6,105.44

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Solution

The fourth proportional to 14,876, 22,301.28 and 6,105.44 is: 9,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876 : 22,301.28 = 6,105.44 : x
  2. Step 2: Convert to fraction form
    14,876/22,301.28 = 6,105.44/x
  3. Step 3: Cross multiply
    14,876x = 22,301.28 × 6,105.44
  4. Step 4: Simplify right side
    14,876x = 136,159,126.96
  5. Step 5: Solve for x
    x = 136,159,126.96/14,876
  6. Step 6: Final answer
    x = 9,152.94

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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.