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Finding the Fourth Proportional to 20,973.50, 31,472.81 and 7,835.10

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Solution

The fourth proportional to 20,973.50, 31,472.81 and 7,835.10 is: 11,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.50 : 31,472.81 = 7,835.10 : x
  2. Step 2: Convert to fraction form
    20,973.50/31,472.81 = 7,835.10/x
  3. Step 3: Cross multiply
    20,973.50x = 31,472.81 × 7,835.10
  4. Step 4: Simplify right side
    20,973.50x = 246,592,574.46
  5. Step 5: Solve for x
    x = 246,592,574.46/20,973.50
  6. Step 6: Final answer
    x = 11,757.34

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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.