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Finding the Fourth Proportional to 23,978.16, 35,967.60 and 9,187.83

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Solution

The fourth proportional to 23,978.16, 35,967.60 and 9,187.83 is: 13,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.16 : 35,967.60 = 9,187.83 : x
  2. Step 2: Convert to fraction form
    23,978.16/35,967.60 = 9,187.83/x
  3. Step 3: Cross multiply
    23,978.16x = 35,967.60 × 9,187.83
  4. Step 4: Simplify right side
    23,978.16x = 330,464,194.31
  5. Step 5: Solve for x
    x = 330,464,194.31/23,978.16
  6. Step 6: Final answer
    x = 13,781.88

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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.