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Finding the Fourth Proportional to 12,867.22, 17,759.53 and 7,833.10

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Solution

The fourth proportional to 12,867.22, 17,759.53 and 7,833.10 is: 10,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.22 : 17,759.53 = 7,833.10 : x
  2. Step 2: Convert to fraction form
    12,867.22/17,759.53 = 7,833.10/x
  3. Step 3: Cross multiply
    12,867.22x = 17,759.53 × 7,833.10
  4. Step 4: Simplify right side
    12,867.22x = 139,112,110.46
  5. Step 5: Solve for x
    x = 139,112,110.46/12,867.22
  6. Step 6: Final answer
    x = 10,811.36

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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.