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Finding the Fourth Proportional to 12,817.44, 19,223.28 and 4,609.44

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Solution

The fourth proportional to 12,817.44, 19,223.28 and 4,609.44 is: 6,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.44 : 19,223.28 = 4,609.44 : x
  2. Step 2: Convert to fraction form
    12,817.44/19,223.28 = 4,609.44/x
  3. Step 3: Cross multiply
    12,817.44x = 19,223.28 × 4,609.44
  4. Step 4: Simplify right side
    12,817.44x = 88,608,555.76
  5. Step 5: Solve for x
    x = 88,608,555.76/12,817.44
  6. Step 6: Final answer
    x = 6,913.12

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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.