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Finding the Fourth Proportional to 23,902.58, 32,984.19 and 13,290.09

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Solution

The fourth proportional to 23,902.58, 32,984.19 and 13,290.09 is: 18,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.58 : 32,984.19 = 13,290.09 : x
  2. Step 2: Convert to fraction form
    23,902.58/32,984.19 = 13,290.09/x
  3. Step 3: Cross multiply
    23,902.58x = 32,984.19 × 13,290.09
  4. Step 4: Simplify right side
    23,902.58x = 438,362,853.68
  5. Step 5: Solve for x
    x = 438,362,853.68/23,902.58
  6. Step 6: Final answer
    x = 18,339.57

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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.