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Finding the Fourth Proportional to 23,593.48, 35,378 and 6,951.36

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Solution

The fourth proportional to 23,593.48, 35,378 and 6,951.36 is: 10,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,593.48 : 35,378 = 6,951.36 : x
  2. Step 2: Convert to fraction form
    23,593.48/35,378 = 6,951.36/x
  3. Step 3: Cross multiply
    23,593.48x = 35,378 × 6,951.36
  4. Step 4: Simplify right side
    23,593.48x = 245,925,214.08
  5. Step 5: Solve for x
    x = 245,925,214.08/23,593.48
  6. Step 6: Final answer
    x = 10,423.44

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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.