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Finding the Fourth Proportional to 15,865.64, 23,798.67 and 6,002.27

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Solution

The fourth proportional to 15,865.64, 23,798.67 and 6,002.27 is: 9,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.64 : 23,798.67 = 6,002.27 : x
  2. Step 2: Convert to fraction form
    15,865.64/23,798.67 = 6,002.27/x
  3. Step 3: Cross multiply
    15,865.64x = 23,798.67 × 6,002.27
  4. Step 4: Simplify right side
    15,865.64x = 142,846,079.97
  5. Step 5: Solve for x
    x = 142,846,079.97/15,865.64
  6. Step 6: Final answer
    x = 9,003.49

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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.