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Finding the Fourth Proportional to 20,904.45, 31,359.74 and 9,812.27

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Solution

The fourth proportional to 20,904.45, 31,359.74 and 9,812.27 is: 14,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904.45 : 31,359.74 = 9,812.27 : x
  2. Step 2: Convert to fraction form
    20,904.45/31,359.74 = 9,812.27/x
  3. Step 3: Cross multiply
    20,904.45x = 31,359.74 × 9,812.27
  4. Step 4: Simplify right side
    20,904.45x = 307,710,236.01
  5. Step 5: Solve for x
    x = 307,710,236.01/20,904.45
  6. Step 6: Final answer
    x = 14,719.84

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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.