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Finding the Fourth Proportional to 12,292.88, 18,433.56 and 4,496.24

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Solution

The fourth proportional to 12,292.88, 18,433.56 and 4,496.24 is: 6,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.88 : 18,433.56 = 4,496.24 : x
  2. Step 2: Convert to fraction form
    12,292.88/18,433.56 = 4,496.24/x
  3. Step 3: Cross multiply
    12,292.88x = 18,433.56 × 4,496.24
  4. Step 4: Simplify right side
    12,292.88x = 82,881,709.81
  5. Step 5: Solve for x
    x = 82,881,709.81/12,292.88
  6. Step 6: Final answer
    x = 6,742.25

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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.