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Finding the Fourth Proportional to 16,076.50, 24,114.75 and 7,313.92

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Solution

The fourth proportional to 16,076.50, 24,114.75 and 7,313.92 is: 10,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.50 : 24,114.75 = 7,313.92 : x
  2. Step 2: Convert to fraction form
    16,076.50/24,114.75 = 7,313.92/x
  3. Step 3: Cross multiply
    16,076.50x = 24,114.75 × 7,313.92
  4. Step 4: Simplify right side
    16,076.50x = 176,373,352.32
  5. Step 5: Solve for x
    x = 176,373,352.32/16,076.50
  6. Step 6: Final answer
    x = 10,970.88

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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.