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Finding the Fourth Proportional to 13,217.16, 18,232.74 and 7,910.40

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Solution

The fourth proportional to 13,217.16, 18,232.74 and 7,910.40 is: 10,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.16 : 18,232.74 = 7,910.40 : x
  2. Step 2: Convert to fraction form
    13,217.16/18,232.74 = 7,910.40/x
  3. Step 3: Cross multiply
    13,217.16x = 18,232.74 × 7,910.40
  4. Step 4: Simplify right side
    13,217.16x = 144,228,266.50
  5. Step 5: Solve for x
    x = 144,228,266.50/13,217.16
  6. Step 6: Final answer
    x = 10,912.20

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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.