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Finding the Fourth Proportional to 12,228.42, 18,343.85 and 4,437.84

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Solution

The fourth proportional to 12,228.42, 18,343.85 and 4,437.84 is: 6,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.42 : 18,343.85 = 4,437.84 : x
  2. Step 2: Convert to fraction form
    12,228.42/18,343.85 = 4,437.84/x
  3. Step 3: Cross multiply
    12,228.42x = 18,343.85 × 4,437.84
  4. Step 4: Simplify right side
    12,228.42x = 81,407,071.28
  5. Step 5: Solve for x
    x = 81,407,071.28/12,228.42
  6. Step 6: Final answer
    x = 6,657.20

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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.