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Finding the Fourth Proportional to 19,835.40, 29,749.86 and 7,352.49

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Solution

The fourth proportional to 19,835.40, 29,749.86 and 7,352.49 is: 11,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835.40 : 29,749.86 = 7,352.49 : x
  2. Step 2: Convert to fraction form
    19,835.40/29,749.86 = 7,352.49/x
  3. Step 3: Cross multiply
    19,835.40x = 29,749.86 × 7,352.49
  4. Step 4: Simplify right side
    19,835.40x = 218,735,548.15
  5. Step 5: Solve for x
    x = 218,735,548.15/19,835.40
  6. Step 6: Final answer
    x = 11,027.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.