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Finding the Fourth Proportional to 15,878.79, 21,910.17 and 9,165.33

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Solution

The fourth proportional to 15,878.79, 21,910.17 and 9,165.33 is: 12,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.79 : 21,910.17 = 9,165.33 : x
  2. Step 2: Convert to fraction form
    15,878.79/21,910.17 = 9,165.33/x
  3. Step 3: Cross multiply
    15,878.79x = 21,910.17 × 9,165.33
  4. Step 4: Simplify right side
    15,878.79x = 200,813,938.41
  5. Step 5: Solve for x
    x = 200,813,938.41/15,878.79
  6. Step 6: Final answer
    x = 12,646.68

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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.