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Finding the Fourth Proportional to 23,097, 34,657.05 and 8,309.24

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Solution

The fourth proportional to 23,097, 34,657.05 and 8,309.24 is: 12,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097 : 34,657.05 = 8,309.24 : x
  2. Step 2: Convert to fraction form
    23,097/34,657.05 = 8,309.24/x
  3. Step 3: Cross multiply
    23,097x = 34,657.05 × 8,309.24
  4. Step 4: Simplify right side
    23,097x = 287,973,746.14
  5. Step 5: Solve for x
    x = 287,973,746.14/23,097
  6. Step 6: Final answer
    x = 12,468.02

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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.