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Finding the Fourth Proportional to 12,619.68, 17,414.54 and 7,316.22

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Solution

The fourth proportional to 12,619.68, 17,414.54 and 7,316.22 is: 10,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.68 : 17,414.54 = 7,316.22 : x
  2. Step 2: Convert to fraction form
    12,619.68/17,414.54 = 7,316.22/x
  3. Step 3: Cross multiply
    12,619.68x = 17,414.54 × 7,316.22
  4. Step 4: Simplify right side
    12,619.68x = 127,408,569.26
  5. Step 5: Solve for x
    x = 127,408,569.26/12,619.68
  6. Step 6: Final answer
    x = 10,096.02

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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.