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Finding the Fourth Proportional to 15,297.92, 22,940.64 and 4,764.40

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Solution

The fourth proportional to 15,297.92, 22,940.64 and 4,764.40 is: 7,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.92 : 22,940.64 = 4,764.40 : x
  2. Step 2: Convert to fraction form
    15,297.92/22,940.64 = 4,764.40/x
  3. Step 3: Cross multiply
    15,297.92x = 22,940.64 × 4,764.40
  4. Step 4: Simplify right side
    15,297.92x = 109,298,385.22
  5. Step 5: Solve for x
    x = 109,298,385.22/15,297.92
  6. Step 6: Final answer
    x = 7,144.66

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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.