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Finding the Fourth Proportional to 20,904.84, 31,349.97 and 6,113.43

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Solution

The fourth proportional to 20,904.84, 31,349.97 and 6,113.43 is: 9,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904.84 : 31,349.97 = 6,113.43 : x
  2. Step 2: Convert to fraction form
    20,904.84/31,349.97 = 6,113.43/x
  3. Step 3: Cross multiply
    20,904.84x = 31,349.97 × 6,113.43
  4. Step 4: Simplify right side
    20,904.84x = 191,655,847.10
  5. Step 5: Solve for x
    x = 191,655,847.10/20,904.84
  6. Step 6: Final answer
    x = 9,168.01

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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.