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Finding the Fourth Proportional to 12,182.30, 18,273.58 and 10,415.86

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Solution

The fourth proportional to 12,182.30, 18,273.58 and 10,415.86 is: 15,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.30 : 18,273.58 = 10,415.86 : x
  2. Step 2: Convert to fraction form
    12,182.30/18,273.58 = 10,415.86/x
  3. Step 3: Cross multiply
    12,182.30x = 18,273.58 × 10,415.86
  4. Step 4: Simplify right side
    12,182.30x = 190,335,050.98
  5. Step 5: Solve for x
    x = 190,335,050.98/12,182.30
  6. Step 6: Final answer
    x = 15,623.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.