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Finding the Fourth Proportional to 15,842.74, 23,769.47 and 5,984.86

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Solution

The fourth proportional to 15,842.74, 23,769.47 and 5,984.86 is: 8,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.74 : 23,769.47 = 5,984.86 : x
  2. Step 2: Convert to fraction form
    15,842.74/23,769.47 = 5,984.86/x
  3. Step 3: Cross multiply
    15,842.74x = 23,769.47 × 5,984.86
  4. Step 4: Simplify right side
    15,842.74x = 142,256,950.22
  5. Step 5: Solve for x
    x = 142,256,950.22/15,842.74
  6. Step 6: Final answer
    x = 8,979.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.