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Finding the Fourth Proportional to 21,645.11, 32,485.89 and 8,506.71

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Solution

The fourth proportional to 21,645.11, 32,485.89 and 8,506.71 is: 12,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.11 : 32,485.89 = 8,506.71 : x
  2. Step 2: Convert to fraction form
    21,645.11/32,485.89 = 8,506.71/x
  3. Step 3: Cross multiply
    21,645.11x = 32,485.89 × 8,506.71
  4. Step 4: Simplify right side
    21,645.11x = 276,348,045.32
  5. Step 5: Solve for x
    x = 276,348,045.32/21,645.11
  6. Step 6: Final answer
    x = 12,767.23

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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.