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Finding the Fourth Proportional to 12,564.26, 18,846.27 and 4,773.06

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Solution

The fourth proportional to 12,564.26, 18,846.27 and 4,773.06 is: 7,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.26 : 18,846.27 = 4,773.06 : x
  2. Step 2: Convert to fraction form
    12,564.26/18,846.27 = 4,773.06/x
  3. Step 3: Cross multiply
    12,564.26x = 18,846.27 × 4,773.06
  4. Step 4: Simplify right side
    12,564.26x = 89,954,377.49
  5. Step 5: Solve for x
    x = 89,954,377.49/12,564.26
  6. Step 6: Final answer
    x = 7,159.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.