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Finding the Fourth Proportional to 23,627, 35,440.50 and 9,776.36

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Solution

The fourth proportional to 23,627, 35,440.50 and 9,776.36 is: 14,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627 : 35,440.50 = 9,776.36 : x
  2. Step 2: Convert to fraction form
    23,627/35,440.50 = 9,776.36/x
  3. Step 3: Cross multiply
    23,627x = 35,440.50 × 9,776.36
  4. Step 4: Simplify right side
    23,627x = 346,479,086.58
  5. Step 5: Solve for x
    x = 346,479,086.58/23,627
  6. Step 6: Final answer
    x = 14,664.54

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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.