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Finding the Fourth Proportional to 21,863.84, 32,795.76 and 8,719.16

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Solution

The fourth proportional to 21,863.84, 32,795.76 and 8,719.16 is: 13,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863.84 : 32,795.76 = 8,719.16 : x
  2. Step 2: Convert to fraction form
    21,863.84/32,795.76 = 8,719.16/x
  3. Step 3: Cross multiply
    21,863.84x = 32,795.76 × 8,719.16
  4. Step 4: Simplify right side
    21,863.84x = 285,951,478.76
  5. Step 5: Solve for x
    x = 285,951,478.76/21,863.84
  6. Step 6: Final answer
    x = 13,078.74

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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.