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Finding the Fourth Proportional to 21,240.50, 31,857.16 and 6,445.86

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Solution

The fourth proportional to 21,240.50, 31,857.16 and 6,445.86 is: 9,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240.50 : 31,857.16 = 6,445.86 : x
  2. Step 2: Convert to fraction form
    21,240.50/31,857.16 = 6,445.86/x
  3. Step 3: Cross multiply
    21,240.50x = 31,857.16 × 6,445.86
  4. Step 4: Simplify right side
    21,240.50x = 205,346,793.36
  5. Step 5: Solve for x
    x = 205,346,793.36/21,240.50
  6. Step 6: Final answer
    x = 9,667.70

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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.