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Finding the Fourth Proportional to 21,718.80, 32,578.81 and 7,676.84

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Solution

The fourth proportional to 21,718.80, 32,578.81 and 7,676.84 is: 11,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.80 : 32,578.81 = 7,676.84 : x
  2. Step 2: Convert to fraction form
    21,718.80/32,578.81 = 7,676.84/x
  3. Step 3: Cross multiply
    21,718.80x = 32,578.81 × 7,676.84
  4. Step 4: Simplify right side
    21,718.80x = 250,102,374.02
  5. Step 5: Solve for x
    x = 250,102,374.02/21,718.80
  6. Step 6: Final answer
    x = 11,515.48

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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.