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Finding the Fourth Proportional to 23,902.96, 32,985.84 and 13,293.16

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Solution

The fourth proportional to 23,902.96, 32,985.84 and 13,293.16 is: 18,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.96 : 32,985.84 = 13,293.16 : x
  2. Step 2: Convert to fraction form
    23,902.96/32,985.84 = 13,293.16/x
  3. Step 3: Cross multiply
    23,902.96x = 32,985.84 × 13,293.16
  4. Step 4: Simplify right side
    23,902.96x = 438,486,048.85
  5. Step 5: Solve for x
    x = 438,486,048.85/23,902.96
  6. Step 6: Final answer
    x = 18,344.42

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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.