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Finding the Fourth Proportional to 15,180.90, 22,773.72 and 6,415.86

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Solution

The fourth proportional to 15,180.90, 22,773.72 and 6,415.86 is: 9,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180.90 : 22,773.72 = 6,415.86 : x
  2. Step 2: Convert to fraction form
    15,180.90/22,773.72 = 6,415.86/x
  3. Step 3: Cross multiply
    15,180.90x = 22,773.72 × 6,415.86
  4. Step 4: Simplify right side
    15,180.90x = 146,112,999.20
  5. Step 5: Solve for x
    x = 146,112,999.20/15,180.90
  6. Step 6: Final answer
    x = 9,624.79

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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.