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Finding the Fourth Proportional to 21,785.63, 32,680.26 and 8,638.11

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Solution

The fourth proportional to 21,785.63, 32,680.26 and 8,638.11 is: 12,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.63 : 32,680.26 = 8,638.11 : x
  2. Step 2: Convert to fraction form
    21,785.63/32,680.26 = 8,638.11/x
  3. Step 3: Cross multiply
    21,785.63x = 32,680.26 × 8,638.11
  4. Step 4: Simplify right side
    21,785.63x = 282,295,680.71
  5. Step 5: Solve for x
    x = 282,295,680.71/21,785.63
  6. Step 6: Final answer
    x = 12,957.89

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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.