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Finding the Fourth Proportional to 15,601.69, 23,402.54 and 5,213.44

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Solution

The fourth proportional to 15,601.69, 23,402.54 and 5,213.44 is: 7,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.69 : 23,402.54 = 5,213.44 : x
  2. Step 2: Convert to fraction form
    15,601.69/23,402.54 = 5,213.44/x
  3. Step 3: Cross multiply
    15,601.69x = 23,402.54 × 5,213.44
  4. Step 4: Simplify right side
    15,601.69x = 122,007,653.56
  5. Step 5: Solve for x
    x = 122,007,653.56/15,601.69
  6. Step 6: Final answer
    x = 7,820.16

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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.