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Finding the Fourth Proportional to 23,798.61, 32,842.09 and 13,188.25

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Solution

The fourth proportional to 23,798.61, 32,842.09 and 13,188.25 is: 18,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.61 : 32,842.09 = 13,188.25 : x
  2. Step 2: Convert to fraction form
    23,798.61/32,842.09 = 13,188.25/x
  3. Step 3: Cross multiply
    23,798.61x = 32,842.09 × 13,188.25
  4. Step 4: Simplify right side
    23,798.61x = 433,129,578.37
  5. Step 5: Solve for x
    x = 433,129,578.37/23,798.61
  6. Step 6: Final answer
    x = 18,199.78

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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.