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Finding the Fourth Proportional to 23,770, 35,656.92 and 7,354

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Solution

The fourth proportional to 23,770, 35,656.92 and 7,354 is: 11,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770 : 35,656.92 = 7,354 : x
  2. Step 2: Convert to fraction form
    23,770/35,656.92 = 7,354/x
  3. Step 3: Cross multiply
    23,770x = 35,656.92 × 7,354
  4. Step 4: Simplify right side
    23,770x = 262,220,989.68
  5. Step 5: Solve for x
    x = 262,220,989.68/23,770
  6. Step 6: Final answer
    x = 11,031.59

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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.