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Finding the Fourth Proportional to 12,774.30, 17,625.90 and 7,468.08

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Solution

The fourth proportional to 12,774.30, 17,625.90 and 7,468.08 is: 10,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.30 : 17,625.90 = 7,468.08 : x
  2. Step 2: Convert to fraction form
    12,774.30/17,625.90 = 7,468.08/x
  3. Step 3: Cross multiply
    12,774.30x = 17,625.90 × 7,468.08
  4. Step 4: Simplify right side
    12,774.30x = 131,631,631.27
  5. Step 5: Solve for x
    x = 131,631,631.27/12,774.30
  6. Step 6: Final answer
    x = 10,304.41

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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.