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Finding the Fourth Proportional to 23,008, 34,513.92 and 6,592

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Solution

The fourth proportional to 23,008, 34,513.92 and 6,592 is: 9,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008 : 34,513.92 = 6,592 : x
  2. Step 2: Convert to fraction form
    23,008/34,513.92 = 6,592/x
  3. Step 3: Cross multiply
    23,008x = 34,513.92 × 6,592
  4. Step 4: Simplify right side
    23,008x = 227,515,760.64
  5. Step 5: Solve for x
    x = 227,515,760.64/23,008
  6. Step 6: Final answer
    x = 9,888.55

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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.