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Finding the Fourth Proportional to 21,188.57, 31,782.85 and 8,037.81

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Solution

The fourth proportional to 21,188.57, 31,782.85 and 8,037.81 is: 12,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.57 : 31,782.85 = 8,037.81 : x
  2. Step 2: Convert to fraction form
    21,188.57/31,782.85 = 8,037.81/x
  3. Step 3: Cross multiply
    21,188.57x = 31,782.85 × 8,037.81
  4. Step 4: Simplify right side
    21,188.57x = 255,464,489.46
  5. Step 5: Solve for x
    x = 255,464,489.46/21,188.57
  6. Step 6: Final answer
    x = 12,056.72

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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.