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Finding the Fourth Proportional to 13,396.66, 20,099.14 and 9,700.22

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Solution

The fourth proportional to 13,396.66, 20,099.14 and 9,700.22 is: 14,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.66 : 20,099.14 = 9,700.22 : x
  2. Step 2: Convert to fraction form
    13,396.66/20,099.14 = 9,700.22/x
  3. Step 3: Cross multiply
    13,396.66x = 20,099.14 × 9,700.22
  4. Step 4: Simplify right side
    13,396.66x = 194,966,105.81
  5. Step 5: Solve for x
    x = 194,966,105.81/13,396.66
  6. Step 6: Final answer
    x = 14,553.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.