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Finding the Fourth Proportional to 15,906.86, 23,823.95 and 7,592.73

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Solution

The fourth proportional to 15,906.86, 23,823.95 and 7,592.73 is: 11,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.86 : 23,823.95 = 7,592.73 : x
  2. Step 2: Convert to fraction form
    15,906.86/23,823.95 = 7,592.73/x
  3. Step 3: Cross multiply
    15,906.86x = 23,823.95 × 7,592.73
  4. Step 4: Simplify right side
    15,906.86x = 180,888,827.21
  5. Step 5: Solve for x
    x = 180,888,827.21/15,906.86
  6. Step 6: Final answer
    x = 11,371.75

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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.