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Finding the Fourth Proportional to 20,857.64, 31,287.90 and 7,709.72

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Solution

The fourth proportional to 20,857.64, 31,287.90 and 7,709.72 is: 11,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.64 : 31,287.90 = 7,709.72 : x
  2. Step 2: Convert to fraction form
    20,857.64/31,287.90 = 7,709.72/x
  3. Step 3: Cross multiply
    20,857.64x = 31,287.90 × 7,709.72
  4. Step 4: Simplify right side
    20,857.64x = 241,220,948.39
  5. Step 5: Solve for x
    x = 241,220,948.39/20,857.64
  6. Step 6: Final answer
    x = 11,565.11

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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.