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Finding the Fourth Proportional to 23,157, 34,741.32 and 6,741

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Solution

The fourth proportional to 23,157, 34,741.32 and 6,741 is: 10,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 34,741.32 = 6,741 : x
  2. Step 2: Convert to fraction form
    23,157/34,741.32 = 6,741/x
  3. Step 3: Cross multiply
    23,157x = 34,741.32 × 6,741
  4. Step 4: Simplify right side
    23,157x = 234,191,238.12
  5. Step 5: Solve for x
    x = 234,191,238.12/23,157
  6. Step 6: Final answer
    x = 10,113.19

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Why These Related Problems?

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