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Finding the Fourth Proportional to 12,577.54, 17,356.16 and 6,912.17

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Solution

The fourth proportional to 12,577.54, 17,356.16 and 6,912.17 is: 9,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.54 : 17,356.16 = 6,912.17 : x
  2. Step 2: Convert to fraction form
    12,577.54/17,356.16 = 6,912.17/x
  3. Step 3: Cross multiply
    12,577.54x = 17,356.16 × 6,912.17
  4. Step 4: Simplify right side
    12,577.54x = 119,968,641.69
  5. Step 5: Solve for x
    x = 119,968,641.69/12,577.54
  6. Step 6: Final answer
    x = 9,538.32

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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.