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Finding the Fourth Proportional to 15,730.92, 23,578.44 and 7,823.52

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Solution

The fourth proportional to 15,730.92, 23,578.44 and 7,823.52 is: 11,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.92 : 23,578.44 = 7,823.52 : x
  2. Step 2: Convert to fraction form
    15,730.92/23,578.44 = 7,823.52/x
  3. Step 3: Cross multiply
    15,730.92x = 23,578.44 × 7,823.52
  4. Step 4: Simplify right side
    15,730.92x = 184,466,396.91
  5. Step 5: Solve for x
    x = 184,466,396.91/15,730.92
  6. Step 6: Final answer
    x = 11,726.36

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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.