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Finding the Fourth Proportional to 12,914.28, 17,823.84 and 7,328.52

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Solution

The fourth proportional to 12,914.28, 17,823.84 and 7,328.52 is: 10,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.28 : 17,823.84 = 7,328.52 : x
  2. Step 2: Convert to fraction form
    12,914.28/17,823.84 = 7,328.52/x
  3. Step 3: Cross multiply
    12,914.28x = 17,823.84 × 7,328.52
  4. Step 4: Simplify right side
    12,914.28x = 130,622,367.92
  5. Step 5: Solve for x
    x = 130,622,367.92/12,914.28
  6. Step 6: Final answer
    x = 10,114.57

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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.