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Finding the Fourth Proportional to 12,217.48, 18,322.11 and 7,772.40

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Solution

The fourth proportional to 12,217.48, 18,322.11 and 7,772.40 is: 11,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.48 : 18,322.11 = 7,772.40 : x
  2. Step 2: Convert to fraction form
    12,217.48/18,322.11 = 7,772.40/x
  3. Step 3: Cross multiply
    12,217.48x = 18,322.11 × 7,772.40
  4. Step 4: Simplify right side
    12,217.48x = 142,406,767.76
  5. Step 5: Solve for x
    x = 142,406,767.76/12,217.48
  6. Step 6: Final answer
    x = 11,655.99

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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.