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Finding the Fourth Proportional to 12,222.11, 18,307.64 and 7,817.19

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Solution

The fourth proportional to 12,222.11, 18,307.64 and 7,817.19 is: 11,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.11 : 18,307.64 = 7,817.19 : x
  2. Step 2: Convert to fraction form
    12,222.11/18,307.64 = 7,817.19/x
  3. Step 3: Cross multiply
    12,222.11x = 18,307.64 × 7,817.19
  4. Step 4: Simplify right side
    12,222.11x = 143,114,261.25
  5. Step 5: Solve for x
    x = 143,114,261.25/12,222.11
  6. Step 6: Final answer
    x = 11,709.46

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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.