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Finding the Fourth Proportional to 21,785.08, 32,684.90 and 8,641.24

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Solution

The fourth proportional to 21,785.08, 32,684.90 and 8,641.24 is: 12,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.08 : 32,684.90 = 8,641.24 : x
  2. Step 2: Convert to fraction form
    21,785.08/32,684.90 = 8,641.24/x
  3. Step 3: Cross multiply
    21,785.08x = 32,684.90 × 8,641.24
  4. Step 4: Simplify right side
    21,785.08x = 282,438,065.28
  5. Step 5: Solve for x
    x = 282,438,065.28/21,785.08
  6. Step 6: Final answer
    x = 12,964.75

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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.