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Finding the Fourth Proportional to 16,223.10, 24,313.05 and 11,600.70

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Solution

The fourth proportional to 16,223.10, 24,313.05 and 11,600.70 is: 17,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.10 : 24,313.05 = 11,600.70 : x
  2. Step 2: Convert to fraction form
    16,223.10/24,313.05 = 11,600.70/x
  3. Step 3: Cross multiply
    16,223.10x = 24,313.05 × 11,600.70
  4. Step 4: Simplify right side
    16,223.10x = 282,048,399.14
  5. Step 5: Solve for x
    x = 282,048,399.14/16,223.10
  6. Step 6: Final answer
    x = 17,385.60

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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.