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Finding the Fourth Proportional to 15,180.50, 22,773.18 and 6,415.49

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Solution

The fourth proportional to 15,180.50, 22,773.18 and 6,415.49 is: 9,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180.50 : 22,773.18 = 6,415.49 : x
  2. Step 2: Convert to fraction form
    15,180.50/22,773.18 = 6,415.49/x
  3. Step 3: Cross multiply
    15,180.50x = 22,773.18 × 6,415.49
  4. Step 4: Simplify right side
    15,180.50x = 146,100,994.69
  5. Step 5: Solve for x
    x = 146,100,994.69/15,180.50
  6. Step 6: Final answer
    x = 9,624.26

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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.