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Finding the Fourth Proportional to 15,878.56, 21,911.70 and 9,165.38

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Solution

The fourth proportional to 15,878.56, 21,911.70 and 9,165.38 is: 12,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.56 : 21,911.70 = 9,165.38 : x
  2. Step 2: Convert to fraction form
    15,878.56/21,911.70 = 9,165.38/x
  3. Step 3: Cross multiply
    15,878.56x = 21,911.70 × 9,165.38
  4. Step 4: Simplify right side
    15,878.56x = 200,829,056.95
  5. Step 5: Solve for x
    x = 200,829,056.95/15,878.56
  6. Step 6: Final answer
    x = 12,647.81

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Why These Related Problems?

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