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Finding the Fourth Proportional to 14,896.74, 22,311.08 and 7,111.02

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Solution

The fourth proportional to 14,896.74, 22,311.08 and 7,111.02 is: 10,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.74 : 22,311.08 = 7,111.02 : x
  2. Step 2: Convert to fraction form
    14,896.74/22,311.08 = 7,111.02/x
  3. Step 3: Cross multiply
    14,896.74x = 22,311.08 × 7,111.02
  4. Step 4: Simplify right side
    14,896.74x = 158,654,536.10
  5. Step 5: Solve for x
    x = 158,654,536.10/14,896.74
  6. Step 6: Final answer
    x = 10,650.29

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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.