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Finding the Fourth Proportional to 12,577.36, 17,356.04 and 6,988

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Solution

The fourth proportional to 12,577.36, 17,356.04 and 6,988 is: 9,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.36 : 17,356.04 = 6,988 : x
  2. Step 2: Convert to fraction form
    12,577.36/17,356.04 = 6,988/x
  3. Step 3: Cross multiply
    12,577.36x = 17,356.04 × 6,988
  4. Step 4: Simplify right side
    12,577.36x = 121,284,007.52
  5. Step 5: Solve for x
    x = 121,284,007.52/12,577.36
  6. Step 6: Final answer
    x = 9,643.04

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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.