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Finding the Fourth Proportional to 15,935.40, 23,906.70 and 9,358.20

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Solution

The fourth proportional to 15,935.40, 23,906.70 and 9,358.20 is: 14,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935.40 : 23,906.70 = 9,358.20 : x
  2. Step 2: Convert to fraction form
    15,935.40/23,906.70 = 9,358.20/x
  3. Step 3: Cross multiply
    15,935.40x = 23,906.70 × 9,358.20
  4. Step 4: Simplify right side
    15,935.40x = 223,723,679.94
  5. Step 5: Solve for x
    x = 223,723,679.94/15,935.40
  6. Step 6: Final answer
    x = 14,039.41

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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.