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Finding the Fourth Proportional to 12,563.71, 17,336.69 and 7,258.41

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Solution

The fourth proportional to 12,563.71, 17,336.69 and 7,258.41 is: 10,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.71 : 17,336.69 = 7,258.41 : x
  2. Step 2: Convert to fraction form
    12,563.71/17,336.69 = 7,258.41/x
  3. Step 3: Cross multiply
    12,563.71x = 17,336.69 × 7,258.41
  4. Step 4: Simplify right side
    12,563.71x = 125,836,887.22
  5. Step 5: Solve for x
    x = 125,836,887.22/12,563.71
  6. Step 6: Final answer
    x = 10,015.90

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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.