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Finding the Fourth Proportional to 23,798.62, 32,842.29 and 13,188.43

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Solution

The fourth proportional to 23,798.62, 32,842.29 and 13,188.43 is: 18,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.62 : 32,842.29 = 13,188.43 : x
  2. Step 2: Convert to fraction form
    23,798.62/32,842.29 = 13,188.43/x
  3. Step 3: Cross multiply
    23,798.62x = 32,842.29 × 13,188.43
  4. Step 4: Simplify right side
    23,798.62x = 433,138,242.70
  5. Step 5: Solve for x
    x = 433,138,242.70/23,798.62
  6. Step 6: Final answer
    x = 18,200.14

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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.