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Finding the Fourth Proportional to 12,557.25, 17,329.05 and 6,968.25

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Solution

The fourth proportional to 12,557.25, 17,329.05 and 6,968.25 is: 9,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.25 : 17,329.05 = 6,968.25 : x
  2. Step 2: Convert to fraction form
    12,557.25/17,329.05 = 6,968.25/x
  3. Step 3: Cross multiply
    12,557.25x = 17,329.05 × 6,968.25
  4. Step 4: Simplify right side
    12,557.25x = 120,753,152.66
  5. Step 5: Solve for x
    x = 120,753,152.66/12,557.25
  6. Step 6: Final answer
    x = 9,616.21

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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.