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Finding the Fourth Proportional to 12,578.36, 17,356.82 and 7,274.88

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Solution

The fourth proportional to 12,578.36, 17,356.82 and 7,274.88 is: 10,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.36 : 17,356.82 = 7,274.88 : x
  2. Step 2: Convert to fraction form
    12,578.36/17,356.82 = 7,274.88/x
  3. Step 3: Cross multiply
    12,578.36x = 17,356.82 × 7,274.88
  4. Step 4: Simplify right side
    12,578.36x = 126,268,746.31
  5. Step 5: Solve for x
    x = 126,268,746.31/12,578.36
  6. Step 6: Final answer
    x = 10,038.57

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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.