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Finding the Fourth Proportional to 15,853.89, 21,878.64 and 8,683.71

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Solution

The fourth proportional to 15,853.89, 21,878.64 and 8,683.71 is: 11,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.89 : 21,878.64 = 8,683.71 : x
  2. Step 2: Convert to fraction form
    15,853.89/21,878.64 = 8,683.71/x
  3. Step 3: Cross multiply
    15,853.89x = 21,878.64 × 8,683.71
  4. Step 4: Simplify right side
    15,853.89x = 189,987,682.91
  5. Step 5: Solve for x
    x = 189,987,682.91/15,853.89
  6. Step 6: Final answer
    x = 11,983.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.