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Finding the Fourth Proportional to 20,957.37, 31,417.26 and 7,800.76

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Solution

The fourth proportional to 20,957.37, 31,417.26 and 7,800.76 is: 11,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.37 : 31,417.26 = 7,800.76 : x
  2. Step 2: Convert to fraction form
    20,957.37/31,417.26 = 7,800.76/x
  3. Step 3: Cross multiply
    20,957.37x = 31,417.26 × 7,800.76
  4. Step 4: Simplify right side
    20,957.37x = 245,078,505.12
  5. Step 5: Solve for x
    x = 245,078,505.12/20,957.37
  6. Step 6: Final answer
    x = 11,694.14

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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.