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Finding the Fourth Proportional to 12,330.97, 17,022.29 and 7,860.71

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Solution

The fourth proportional to 12,330.97, 17,022.29 and 7,860.71 is: 10,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.97 : 17,022.29 = 7,860.71 : x
  2. Step 2: Convert to fraction form
    12,330.97/17,022.29 = 7,860.71/x
  3. Step 3: Cross multiply
    12,330.97x = 17,022.29 × 7,860.71
  4. Step 4: Simplify right side
    12,330.97x = 133,807,288.48
  5. Step 5: Solve for x
    x = 133,807,288.48/12,330.97
  6. Step 6: Final answer
    x = 10,851.32

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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.