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Finding the Fourth Proportional to 12,438.42, 17,164.06 and 7,060.22

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Solution

The fourth proportional to 12,438.42, 17,164.06 and 7,060.22 is: 9,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.42 : 17,164.06 = 7,060.22 : x
  2. Step 2: Convert to fraction form
    12,438.42/17,164.06 = 7,060.22/x
  3. Step 3: Cross multiply
    12,438.42x = 17,164.06 × 7,060.22
  4. Step 4: Simplify right side
    12,438.42x = 121,182,039.69
  5. Step 5: Solve for x
    x = 121,182,039.69/12,438.42
  6. Step 6: Final answer
    x = 9,742.56

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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.