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Finding the Fourth Proportional to 20,749.50, 31,124.52 and 6,898.50

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Solution

The fourth proportional to 20,749.50, 31,124.52 and 6,898.50 is: 10,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.50 : 31,124.52 = 6,898.50 : x
  2. Step 2: Convert to fraction form
    20,749.50/31,124.52 = 6,898.50/x
  3. Step 3: Cross multiply
    20,749.50x = 31,124.52 × 6,898.50
  4. Step 4: Simplify right side
    20,749.50x = 214,712,501.22
  5. Step 5: Solve for x
    x = 214,712,501.22/20,749.50
  6. Step 6: Final answer
    x = 10,347.84

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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.