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Finding the Fourth Proportional to 19,602.42, 29,406.90 and 9,082.98

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Solution

The fourth proportional to 19,602.42, 29,406.90 and 9,082.98 is: 13,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602.42 : 29,406.90 = 9,082.98 : x
  2. Step 2: Convert to fraction form
    19,602.42/29,406.90 = 9,082.98/x
  3. Step 3: Cross multiply
    19,602.42x = 29,406.90 × 9,082.98
  4. Step 4: Simplify right side
    19,602.42x = 267,102,284.56
  5. Step 5: Solve for x
    x = 267,102,284.56/19,602.42
  6. Step 6: Final answer
    x = 13,625.99

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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.