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Finding the Fourth Proportional to 19,605.44, 29,408.16 and 7,123.14

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Solution

The fourth proportional to 19,605.44, 29,408.16 and 7,123.14 is: 10,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.44 : 29,408.16 = 7,123.14 : x
  2. Step 2: Convert to fraction form
    19,605.44/29,408.16 = 7,123.14/x
  3. Step 3: Cross multiply
    19,605.44x = 29,408.16 × 7,123.14
  4. Step 4: Simplify right side
    19,605.44x = 209,478,440.82
  5. Step 5: Solve for x
    x = 209,478,440.82/19,605.44
  6. Step 6: Final answer
    x = 10,684.71

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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.