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Finding the Fourth Proportional to 23,546, 35,319 and 8,737.76

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Solution

The fourth proportional to 23,546, 35,319 and 8,737.76 is: 13,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546 : 35,319 = 8,737.76 : x
  2. Step 2: Convert to fraction form
    23,546/35,319 = 8,737.76/x
  3. Step 3: Cross multiply
    23,546x = 35,319 × 8,737.76
  4. Step 4: Simplify right side
    23,546x = 308,608,945.44
  5. Step 5: Solve for x
    x = 308,608,945.44/23,546
  6. Step 6: Final answer
    x = 13,106.64

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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.