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Finding the Fourth Proportional to 12,483.05, 17,222.42 and 7,767.02

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Solution

The fourth proportional to 12,483.05, 17,222.42 and 7,767.02 is: 10,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.05 : 17,222.42 = 7,767.02 : x
  2. Step 2: Convert to fraction form
    12,483.05/17,222.42 = 7,767.02/x
  3. Step 3: Cross multiply
    12,483.05x = 17,222.42 × 7,767.02
  4. Step 4: Simplify right side
    12,483.05x = 133,766,943.06
  5. Step 5: Solve for x
    x = 133,766,943.06/12,483.05
  6. Step 6: Final answer
    x = 10,715.89

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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.