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Finding the Fourth Proportional to 15,874.20, 21,907.83 and 9,160.92

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Solution

The fourth proportional to 15,874.20, 21,907.83 and 9,160.92 is: 12,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.20 : 21,907.83 = 9,160.92 : x
  2. Step 2: Convert to fraction form
    15,874.20/21,907.83 = 9,160.92/x
  3. Step 3: Cross multiply
    15,874.20x = 21,907.83 × 9,160.92
  4. Step 4: Simplify right side
    15,874.20x = 200,695,878.00
  5. Step 5: Solve for x
    x = 200,695,878.00/15,874.20
  6. Step 6: Final answer
    x = 12,642.90

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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.