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Finding the Fourth Proportional to 23,011.08, 34,516.62 and 7,431

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Solution

The fourth proportional to 23,011.08, 34,516.62 and 7,431 is: 11,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.08 : 34,516.62 = 7,431 : x
  2. Step 2: Convert to fraction form
    23,011.08/34,516.62 = 7,431/x
  3. Step 3: Cross multiply
    23,011.08x = 34,516.62 × 7,431
  4. Step 4: Simplify right side
    23,011.08x = 256,493,003.22
  5. Step 5: Solve for x
    x = 256,493,003.22/23,011.08
  6. Step 6: Final answer
    x = 11,146.50

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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.