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Finding the Fourth Proportional to 19,777.16, 29,670.50 and 8,090.42

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Solution

The fourth proportional to 19,777.16, 29,670.50 and 8,090.42 is: 12,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.16 : 29,670.50 = 8,090.42 : x
  2. Step 2: Convert to fraction form
    19,777.16/29,670.50 = 8,090.42/x
  3. Step 3: Cross multiply
    19,777.16x = 29,670.50 × 8,090.42
  4. Step 4: Simplify right side
    19,777.16x = 240,046,658.26
  5. Step 5: Solve for x
    x = 240,046,658.26/19,777.16
  6. Step 6: Final answer
    x = 12,137.57

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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.