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Finding the Fourth Proportional to 15,878.10, 21,910.20 and 9,165.89

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Solution

The fourth proportional to 15,878.10, 21,910.20 and 9,165.89 is: 12,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.10 : 21,910.20 = 9,165.89 : x
  2. Step 2: Convert to fraction form
    15,878.10/21,910.20 = 9,165.89/x
  3. Step 3: Cross multiply
    15,878.10x = 21,910.20 × 9,165.89
  4. Step 4: Simplify right side
    15,878.10x = 200,826,437.25
  5. Step 5: Solve for x
    x = 200,826,437.25/15,878.10
  6. Step 6: Final answer
    x = 12,648.01

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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.