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Finding the Fourth Proportional to 15,872.92, 23,803.62 and 6,007.12

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Solution

The fourth proportional to 15,872.92, 23,803.62 and 6,007.12 is: 9,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.92 : 23,803.62 = 6,007.12 : x
  2. Step 2: Convert to fraction form
    15,872.92/23,803.62 = 6,007.12/x
  3. Step 3: Cross multiply
    15,872.92x = 23,803.62 × 6,007.12
  4. Step 4: Simplify right side
    15,872.92x = 142,991,201.77
  5. Step 5: Solve for x
    x = 142,991,201.77/15,872.92
  6. Step 6: Final answer
    x = 9,008.50

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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.