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Finding the Fourth Proportional to 12,557.57, 17,329.35 and 6,968.57

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Solution

The fourth proportional to 12,557.57, 17,329.35 and 6,968.57 is: 9,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.57 : 17,329.35 = 6,968.57 : x
  2. Step 2: Convert to fraction form
    12,557.57/17,329.35 = 6,968.57/x
  3. Step 3: Cross multiply
    12,557.57x = 17,329.35 × 6,968.57
  4. Step 4: Simplify right side
    12,557.57x = 120,760,788.53
  5. Step 5: Solve for x
    x = 120,760,788.53/12,557.57
  6. Step 6: Final answer
    x = 9,616.57

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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.