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Finding the Fourth Proportional to 23,407.67, 35,106.30 and 6,764.06

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Solution

The fourth proportional to 23,407.67, 35,106.30 and 6,764.06 is: 10,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.67 : 35,106.30 = 6,764.06 : x
  2. Step 2: Convert to fraction form
    23,407.67/35,106.30 = 6,764.06/x
  3. Step 3: Cross multiply
    23,407.67x = 35,106.30 × 6,764.06
  4. Step 4: Simplify right side
    23,407.67x = 237,460,944.05
  5. Step 5: Solve for x
    x = 237,460,944.05/23,407.67
  6. Step 6: Final answer
    x = 10,144.58

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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.