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Finding the Fourth Proportional to 20,818.94, 31,233.02 and 9,719.58

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Solution

The fourth proportional to 20,818.94, 31,233.02 and 9,719.58 is: 14,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.94 : 31,233.02 = 9,719.58 : x
  2. Step 2: Convert to fraction form
    20,818.94/31,233.02 = 9,719.58/x
  3. Step 3: Cross multiply
    20,818.94x = 31,233.02 × 9,719.58
  4. Step 4: Simplify right side
    20,818.94x = 303,571,836.53
  5. Step 5: Solve for x
    x = 303,571,836.53/20,818.94
  6. Step 6: Final answer
    x = 14,581.52

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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.