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Finding the Fourth Proportional to 15,853.89, 21,878.16 and 8,683.74

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Solution

The fourth proportional to 15,853.89, 21,878.16 and 8,683.74 is: 11,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.89 : 21,878.16 = 8,683.74 : x
  2. Step 2: Convert to fraction form
    15,853.89/21,878.16 = 8,683.74/x
  3. Step 3: Cross multiply
    15,853.89x = 21,878.16 × 8,683.74
  4. Step 4: Simplify right side
    15,853.89x = 189,984,253.12
  5. Step 5: Solve for x
    x = 189,984,253.12/15,853.89
  6. Step 6: Final answer
    x = 11,983.45

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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.