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Finding the Fourth Proportional to 23,902.56, 32,984.08 and 13,291.84

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Solution

The fourth proportional to 23,902.56, 32,984.08 and 13,291.84 is: 18,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.56 : 32,984.08 = 13,291.84 : x
  2. Step 2: Convert to fraction form
    23,902.56/32,984.08 = 13,291.84/x
  3. Step 3: Cross multiply
    23,902.56x = 32,984.08 × 13,291.84
  4. Step 4: Simplify right side
    23,902.56x = 438,419,113.91
  5. Step 5: Solve for x
    x = 438,419,113.91/23,902.56
  6. Step 6: Final answer
    x = 18,341.93

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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.