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Finding the Fourth Proportional to 19,749.50, 29,628.93 and 5,898.86

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Solution

The fourth proportional to 19,749.50, 29,628.93 and 5,898.86 is: 8,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749.50 : 29,628.93 = 5,898.86 : x
  2. Step 2: Convert to fraction form
    19,749.50/29,628.93 = 5,898.86/x
  3. Step 3: Cross multiply
    19,749.50x = 29,628.93 × 5,898.86
  4. Step 4: Simplify right side
    19,749.50x = 174,776,910.02
  5. Step 5: Solve for x
    x = 174,776,910.02/19,749.50
  6. Step 6: Final answer
    x = 8,849.69

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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.