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Finding the Fourth Proportional to 15,396.67, 23,102.70 and 5,538.16

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Solution

The fourth proportional to 15,396.67, 23,102.70 and 5,538.16 is: 8,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396.67 : 23,102.70 = 5,538.16 : x
  2. Step 2: Convert to fraction form
    15,396.67/23,102.70 = 5,538.16/x
  3. Step 3: Cross multiply
    15,396.67x = 23,102.70 × 5,538.16
  4. Step 4: Simplify right side
    15,396.67x = 127,946,449.03
  5. Step 5: Solve for x
    x = 127,946,449.03/15,396.67
  6. Step 6: Final answer
    x = 8,310.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.