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Finding the Fourth Proportional to 20,903.77, 31,365.91 and 9,811.36

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Solution

The fourth proportional to 20,903.77, 31,365.91 and 9,811.36 is: 14,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.77 : 31,365.91 = 9,811.36 : x
  2. Step 2: Convert to fraction form
    20,903.77/31,365.91 = 9,811.36/x
  3. Step 3: Cross multiply
    20,903.77x = 31,365.91 × 9,811.36
  4. Step 4: Simplify right side
    20,903.77x = 307,742,185.68
  5. Step 5: Solve for x
    x = 307,742,185.68/20,903.77
  6. Step 6: Final answer
    x = 14,721.85

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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.