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Finding the Fourth Proportional to 12,467.79, 17,205.51 and 6,802.44

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Solution

The fourth proportional to 12,467.79, 17,205.51 and 6,802.44 is: 9,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.79 : 17,205.51 = 6,802.44 : x
  2. Step 2: Convert to fraction form
    12,467.79/17,205.51 = 6,802.44/x
  3. Step 3: Cross multiply
    12,467.79x = 17,205.51 × 6,802.44
  4. Step 4: Simplify right side
    12,467.79x = 117,039,449.44
  5. Step 5: Solve for x
    x = 117,039,449.44/12,467.79
  6. Step 6: Final answer
    x = 9,387.35

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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.