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Finding the Fourth Proportional to 15,876.93, 23,816.39 and 4,190.16

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Solution

The fourth proportional to 15,876.93, 23,816.39 and 4,190.16 is: 6,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.93 : 23,816.39 = 4,190.16 : x
  2. Step 2: Convert to fraction form
    15,876.93/23,816.39 = 4,190.16/x
  3. Step 3: Cross multiply
    15,876.93x = 23,816.39 × 4,190.16
  4. Step 4: Simplify right side
    15,876.93x = 99,794,484.72
  5. Step 5: Solve for x
    x = 99,794,484.72/15,876.93
  6. Step 6: Final answer
    x = 6,285.50

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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.