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Finding the Fourth Proportional to 12,901.48, 17,804.22 and 9,665.56

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Solution

The fourth proportional to 12,901.48, 17,804.22 and 9,665.56 is: 13,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.48 : 17,804.22 = 9,665.56 : x
  2. Step 2: Convert to fraction form
    12,901.48/17,804.22 = 9,665.56/x
  3. Step 3: Cross multiply
    12,901.48x = 17,804.22 × 9,665.56
  4. Step 4: Simplify right side
    12,901.48x = 172,087,756.66
  5. Step 5: Solve for x
    x = 172,087,756.66/12,901.48
  6. Step 6: Final answer
    x = 13,338.61

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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.