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Finding the Fourth Proportional to 21,047.16, 31,540.64 and 15,456.64

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Solution

The fourth proportional to 21,047.16, 31,540.64 and 15,456.64 is: 23,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.16 : 31,540.64 = 15,456.64 : x
  2. Step 2: Convert to fraction form
    21,047.16/31,540.64 = 15,456.64/x
  3. Step 3: Cross multiply
    21,047.16x = 31,540.64 × 15,456.64
  4. Step 4: Simplify right side
    21,047.16x = 487,512,317.85
  5. Step 5: Solve for x
    x = 487,512,317.85/21,047.16
  6. Step 6: Final answer
    x = 23,162.86

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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.