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Finding the Fourth Proportional to 24,749.36, 37,123.42 and 7,219.34

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Solution

The fourth proportional to 24,749.36, 37,123.42 and 7,219.34 is: 10,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.36 : 37,123.42 = 7,219.34 : x
  2. Step 2: Convert to fraction form
    24,749.36/37,123.42 = 7,219.34/x
  3. Step 3: Cross multiply
    24,749.36x = 37,123.42 × 7,219.34
  4. Step 4: Simplify right side
    24,749.36x = 268,006,554.85
  5. Step 5: Solve for x
    x = 268,006,554.85/24,749.36
  6. Step 6: Final answer
    x = 10,828.83

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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.