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Finding the Fourth Proportional to 12,491.13, 17,237.84 and 6,825.81

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Solution

The fourth proportional to 12,491.13, 17,237.84 and 6,825.81 is: 9,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.13 : 17,237.84 = 6,825.81 : x
  2. Step 2: Convert to fraction form
    12,491.13/17,237.84 = 6,825.81/x
  3. Step 3: Cross multiply
    12,491.13x = 17,237.84 × 6,825.81
  4. Step 4: Simplify right side
    12,491.13x = 117,662,186.52
  5. Step 5: Solve for x
    x = 117,662,186.52/12,491.13
  6. Step 6: Final answer
    x = 9,419.66

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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.