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Finding the Fourth Proportional to 19,466.42, 29,193.44 and 6,315.66

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Solution

The fourth proportional to 19,466.42, 29,193.44 and 6,315.66 is: 9,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466.42 : 29,193.44 = 6,315.66 : x
  2. Step 2: Convert to fraction form
    19,466.42/29,193.44 = 6,315.66/x
  3. Step 3: Cross multiply
    19,466.42x = 29,193.44 × 6,315.66
  4. Step 4: Simplify right side
    19,466.42x = 184,375,809.69
  5. Step 5: Solve for x
    x = 184,375,809.69/19,466.42
  6. Step 6: Final answer
    x = 9,471.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.