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Finding the Fourth Proportional to 23,818.75, 35,727.01 and 9,775.30

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Solution

The fourth proportional to 23,818.75, 35,727.01 and 9,775.30 is: 14,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.75 : 35,727.01 = 9,775.30 : x
  2. Step 2: Convert to fraction form
    23,818.75/35,727.01 = 9,775.30/x
  3. Step 3: Cross multiply
    23,818.75x = 35,727.01 × 9,775.30
  4. Step 4: Simplify right side
    23,818.75x = 349,242,240.85
  5. Step 5: Solve for x
    x = 349,242,240.85/23,818.75
  6. Step 6: Final answer
    x = 14,662.49

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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.