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Finding the Fourth Proportional to 12,467.48, 17,205.23 and 6,802.28

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Solution

The fourth proportional to 12,467.48, 17,205.23 and 6,802.28 is: 9,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.48 : 17,205.23 = 6,802.28 : x
  2. Step 2: Convert to fraction form
    12,467.48/17,205.23 = 6,802.28/x
  3. Step 3: Cross multiply
    12,467.48x = 17,205.23 × 6,802.28
  4. Step 4: Simplify right side
    12,467.48x = 117,034,671.89
  5. Step 5: Solve for x
    x = 117,034,671.89/12,467.48
  6. Step 6: Final answer
    x = 9,387.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.