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Finding the Fourth Proportional to 12,228.84, 18,338.70 and 4,830.84

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Solution

The fourth proportional to 12,228.84, 18,338.70 and 4,830.84 is: 7,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.84 : 18,338.70 = 4,830.84 : x
  2. Step 2: Convert to fraction form
    12,228.84/18,338.70 = 4,830.84/x
  3. Step 3: Cross multiply
    12,228.84x = 18,338.70 × 4,830.84
  4. Step 4: Simplify right side
    12,228.84x = 88,591,325.51
  5. Step 5: Solve for x
    x = 88,591,325.51/12,228.84
  6. Step 6: Final answer
    x = 7,244.46

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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.