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Finding the Fourth Proportional to 20,046.71, 30,046.82 and 7,558.74

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Solution

The fourth proportional to 20,046.71, 30,046.82 and 7,558.74 is: 11,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.71 : 30,046.82 = 7,558.74 : x
  2. Step 2: Convert to fraction form
    20,046.71/30,046.82 = 7,558.74/x
  3. Step 3: Cross multiply
    20,046.71x = 30,046.82 × 7,558.74
  4. Step 4: Simplify right side
    20,046.71x = 227,116,062.41
  5. Step 5: Solve for x
    x = 227,116,062.41/20,046.71
  6. Step 6: Final answer
    x = 11,329.34

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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.