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Finding the Fourth Proportional to 21,863.60, 32,811.32 and 8,719.73

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Solution

The fourth proportional to 21,863.60, 32,811.32 and 8,719.73 is: 13,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863.60 : 32,811.32 = 8,719.73 : x
  2. Step 2: Convert to fraction form
    21,863.60/32,811.32 = 8,719.73/x
  3. Step 3: Cross multiply
    21,863.60x = 32,811.32 × 8,719.73
  4. Step 4: Simplify right side
    21,863.60x = 286,105,709.09
  5. Step 5: Solve for x
    x = 286,105,709.09/21,863.60
  6. Step 6: Final answer
    x = 13,085.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.