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Finding the Fourth Proportional to 23,852.11, 35,764.11 and 9,062.08

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Solution

The fourth proportional to 23,852.11, 35,764.11 and 9,062.08 is: 13,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.11 : 35,764.11 = 9,062.08 : x
  2. Step 2: Convert to fraction form
    23,852.11/35,764.11 = 9,062.08/x
  3. Step 3: Cross multiply
    23,852.11x = 35,764.11 × 9,062.08
  4. Step 4: Simplify right side
    23,852.11x = 324,097,225.95
  5. Step 5: Solve for x
    x = 324,097,225.95/23,852.11
  6. Step 6: Final answer
    x = 13,587.78

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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.