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Finding the Fourth Proportional to 12,601.17, 17,389.67 and 7,012.17

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Solution

The fourth proportional to 12,601.17, 17,389.67 and 7,012.17 is: 9,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.17 : 17,389.67 = 7,012.17 : x
  2. Step 2: Convert to fraction form
    12,601.17/17,389.67 = 7,012.17/x
  3. Step 3: Cross multiply
    12,601.17x = 17,389.67 × 7,012.17
  4. Step 4: Simplify right side
    12,601.17x = 121,939,287.22
  5. Step 5: Solve for x
    x = 121,939,287.22/12,601.17
  6. Step 6: Final answer
    x = 9,676.82

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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.