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Finding the Fourth Proportional to 15,589.86, 23,394.01 and 5,736.05

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Solution

The fourth proportional to 15,589.86, 23,394.01 and 5,736.05 is: 8,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.86 : 23,394.01 = 5,736.05 : x
  2. Step 2: Convert to fraction form
    15,589.86/23,394.01 = 5,736.05/x
  3. Step 3: Cross multiply
    15,589.86x = 23,394.01 × 5,736.05
  4. Step 4: Simplify right side
    15,589.86x = 134,189,255.21
  5. Step 5: Solve for x
    x = 134,189,255.21/15,589.86
  6. Step 6: Final answer
    x = 8,607.47

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Why These Related Problems?

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