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Finding the Fourth Proportional to 23,011, 34,516.62 and 6,595

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Solution

The fourth proportional to 23,011, 34,516.62 and 6,595 is: 9,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011 : 34,516.62 = 6,595 : x
  2. Step 2: Convert to fraction form
    23,011/34,516.62 = 6,595/x
  3. Step 3: Cross multiply
    23,011x = 34,516.62 × 6,595
  4. Step 4: Simplify right side
    23,011x = 227,637,108.90
  5. Step 5: Solve for x
    x = 227,637,108.90/23,011
  6. Step 6: Final answer
    x = 9,892.53

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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.