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Finding the Fourth Proportional to 23,798.50, 32,842.12 and 13,188.31

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Solution

The fourth proportional to 23,798.50, 32,842.12 and 13,188.31 is: 18,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.50 : 32,842.12 = 13,188.31 : x
  2. Step 2: Convert to fraction form
    23,798.50/32,842.12 = 13,188.31/x
  3. Step 3: Cross multiply
    23,798.50x = 32,842.12 × 13,188.31
  4. Step 4: Simplify right side
    23,798.50x = 433,132,059.62
  5. Step 5: Solve for x
    x = 433,132,059.62/23,798.50
  6. Step 6: Final answer
    x = 18,199.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.