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Finding the Fourth Proportional to 15,423.20, 23,077.96 and 10,906.91

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Solution

The fourth proportional to 15,423.20, 23,077.96 and 10,906.91 is: 16,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423.20 : 23,077.96 = 10,906.91 : x
  2. Step 2: Convert to fraction form
    15,423.20/23,077.96 = 10,906.91/x
  3. Step 3: Cross multiply
    15,423.20x = 23,077.96 × 10,906.91
  4. Step 4: Simplify right side
    15,423.20x = 251,709,090.05
  5. Step 5: Solve for x
    x = 251,709,090.05/15,423.20
  6. Step 6: Final answer
    x = 16,320.17

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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.