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Finding the Fourth Proportional to 23,902.16, 32,987.04 and 13,293.84

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Solution

The fourth proportional to 23,902.16, 32,987.04 and 13,293.84 is: 18,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.16 : 32,987.04 = 13,293.84 : x
  2. Step 2: Convert to fraction form
    23,902.16/32,987.04 = 13,293.84/x
  3. Step 3: Cross multiply
    23,902.16x = 32,987.04 × 13,293.84
  4. Step 4: Simplify right side
    23,902.16x = 438,524,431.83
  5. Step 5: Solve for x
    x = 438,524,431.83/23,902.16
  6. Step 6: Final answer
    x = 18,346.64

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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.