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Finding the Fourth Proportional to 23,796, 35,699.09 and 7,154.64

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Solution

The fourth proportional to 23,796, 35,699.09 and 7,154.64 is: 10,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 35,699.09 = 7,154.64 : x
  2. Step 2: Convert to fraction form
    23,796/35,699.09 = 7,154.64/x
  3. Step 3: Cross multiply
    23,796x = 35,699.09 × 7,154.64
  4. Step 4: Simplify right side
    23,796x = 255,414,101.50
  5. Step 5: Solve for x
    x = 255,414,101.50/23,796
  6. Step 6: Final answer
    x = 10,733.49

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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.