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Finding the Fourth Proportional to 12,074.42, 16,663.92 and 7,361.48

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Solution

The fourth proportional to 12,074.42, 16,663.92 and 7,361.48 is: 10,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.42 : 16,663.92 = 7,361.48 : x
  2. Step 2: Convert to fraction form
    12,074.42/16,663.92 = 7,361.48/x
  3. Step 3: Cross multiply
    12,074.42x = 16,663.92 × 7,361.48
  4. Step 4: Simplify right side
    12,074.42x = 122,671,113.80
  5. Step 5: Solve for x
    x = 122,671,113.80/12,074.42
  6. Step 6: Final answer
    x = 10,159.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.