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Finding the Fourth Proportional to 12,802.44, 19,205.28 and 6,223.08

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Solution

The fourth proportional to 12,802.44, 19,205.28 and 6,223.08 is: 9,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.44 : 19,205.28 = 6,223.08 : x
  2. Step 2: Convert to fraction form
    12,802.44/19,205.28 = 6,223.08/x
  3. Step 3: Cross multiply
    12,802.44x = 19,205.28 × 6,223.08
  4. Step 4: Simplify right side
    12,802.44x = 119,515,993.86
  5. Step 5: Solve for x
    x = 119,515,993.86/12,802.44
  6. Step 6: Final answer
    x = 9,335.41

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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.