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Finding the Fourth Proportional to 12,467.72, 17,205.50 and 6,802.59

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Solution

The fourth proportional to 12,467.72, 17,205.50 and 6,802.59 is: 9,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.72 : 17,205.50 = 6,802.59 : x
  2. Step 2: Convert to fraction form
    12,467.72/17,205.50 = 6,802.59/x
  3. Step 3: Cross multiply
    12,467.72x = 17,205.50 × 6,802.59
  4. Step 4: Simplify right side
    12,467.72x = 117,041,928.23
  5. Step 5: Solve for x
    x = 117,041,928.23/12,467.72
  6. Step 6: Final answer
    x = 9,387.60

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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.