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Finding the Fourth Proportional to 19,538.56, 29,307.87 and 4,747.49

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Solution

The fourth proportional to 19,538.56, 29,307.87 and 4,747.49 is: 7,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.56 : 29,307.87 = 4,747.49 : x
  2. Step 2: Convert to fraction form
    19,538.56/29,307.87 = 4,747.49/x
  3. Step 3: Cross multiply
    19,538.56x = 29,307.87 × 4,747.49
  4. Step 4: Simplify right side
    19,538.56x = 139,138,673.21
  5. Step 5: Solve for x
    x = 139,138,673.21/19,538.56
  6. Step 6: Final answer
    x = 7,121.24

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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.