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Finding the Fourth Proportional to 19,674.50, 29,517.53 and 5,823.86

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Solution

The fourth proportional to 19,674.50, 29,517.53 and 5,823.86 is: 8,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.50 : 29,517.53 = 5,823.86 : x
  2. Step 2: Convert to fraction form
    19,674.50/29,517.53 = 5,823.86/x
  3. Step 3: Cross multiply
    19,674.50x = 29,517.53 × 5,823.86
  4. Step 4: Simplify right side
    19,674.50x = 171,905,962.27
  5. Step 5: Solve for x
    x = 171,905,962.27/19,674.50
  6. Step 6: Final answer
    x = 8,737.50

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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.