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Finding the Fourth Proportional to 14,568.18, 21,874.14 and 8,335.23

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Solution

The fourth proportional to 14,568.18, 21,874.14 and 8,335.23 is: 12,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.18 : 21,874.14 = 8,335.23 : x
  2. Step 2: Convert to fraction form
    14,568.18/21,874.14 = 8,335.23/x
  3. Step 3: Cross multiply
    14,568.18x = 21,874.14 × 8,335.23
  4. Step 4: Simplify right side
    14,568.18x = 182,325,987.95
  5. Step 5: Solve for x
    x = 182,325,987.95/14,568.18
  6. Step 6: Final answer
    x = 12,515.36

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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.