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Finding the Fourth Proportional to 16,640.05, 24,970.34 and 7,753.81

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Solution

The fourth proportional to 16,640.05, 24,970.34 and 7,753.81 is: 11,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.05 : 24,970.34 = 7,753.81 : x
  2. Step 2: Convert to fraction form
    16,640.05/24,970.34 = 7,753.81/x
  3. Step 3: Cross multiply
    16,640.05x = 24,970.34 × 7,753.81
  4. Step 4: Simplify right side
    16,640.05x = 193,615,233.23
  5. Step 5: Solve for x
    x = 193,615,233.23/16,640.05
  6. Step 6: Final answer
    x = 11,635.50

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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.