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Finding the Fourth Proportional to 15,878.56, 21,911.68 and 9,165.40

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Solution

The fourth proportional to 15,878.56, 21,911.68 and 9,165.40 is: 12,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.56 : 21,911.68 = 9,165.40 : x
  2. Step 2: Convert to fraction form
    15,878.56/21,911.68 = 9,165.40/x
  3. Step 3: Cross multiply
    15,878.56x = 21,911.68 × 9,165.40
  4. Step 4: Simplify right side
    15,878.56x = 200,829,311.87
  5. Step 5: Solve for x
    x = 200,829,311.87/15,878.56
  6. Step 6: Final answer
    x = 12,647.83

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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.