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Finding the Fourth Proportional to 12,773.24, 17,627.06 and 7,468.06

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Solution

The fourth proportional to 12,773.24, 17,627.06 and 7,468.06 is: 10,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.24 : 17,627.06 = 7,468.06 : x
  2. Step 2: Convert to fraction form
    12,773.24/17,627.06 = 7,468.06/x
  3. Step 3: Cross multiply
    12,773.24x = 17,627.06 × 7,468.06
  4. Step 4: Simplify right side
    12,773.24x = 131,639,941.70
  5. Step 5: Solve for x
    x = 131,639,941.70/12,773.24
  6. Step 6: Final answer
    x = 10,305.92

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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.