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Finding the Fourth Proportional to 16,712.37, 23,062.05 and 9,157.20

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Solution

The fourth proportional to 16,712.37, 23,062.05 and 9,157.20 is: 12,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.37 : 23,062.05 = 9,157.20 : x
  2. Step 2: Convert to fraction form
    16,712.37/23,062.05 = 9,157.20/x
  3. Step 3: Cross multiply
    16,712.37x = 23,062.05 × 9,157.20
  4. Step 4: Simplify right side
    16,712.37x = 211,183,804.26
  5. Step 5: Solve for x
    x = 211,183,804.26/16,712.37
  6. Step 6: Final answer
    x = 12,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.