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Finding the Fourth Proportional to 20,892.53, 31,335.71 and 6,097.48

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Solution

The fourth proportional to 20,892.53, 31,335.71 and 6,097.48 is: 9,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.53 : 31,335.71 = 6,097.48 : x
  2. Step 2: Convert to fraction form
    20,892.53/31,335.71 = 6,097.48/x
  3. Step 3: Cross multiply
    20,892.53x = 31,335.71 × 6,097.48
  4. Step 4: Simplify right side
    20,892.53x = 191,068,677.84
  5. Step 5: Solve for x
    x = 191,068,677.84/20,892.53
  6. Step 6: Final answer
    x = 9,145.31

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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.