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Finding the Fourth Proportional to 23,608.93, 32,582.22 and 13,538.30

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Solution

The fourth proportional to 23,608.93, 32,582.22 and 13,538.30 is: 18,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.93 : 32,582.22 = 13,538.30 : x
  2. Step 2: Convert to fraction form
    23,608.93/32,582.22 = 13,538.30/x
  3. Step 3: Cross multiply
    23,608.93x = 32,582.22 × 13,538.30
  4. Step 4: Simplify right side
    23,608.93x = 441,107,869.03
  5. Step 5: Solve for x
    x = 441,107,869.03/23,608.93
  6. Step 6: Final answer
    x = 18,683.94

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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.