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Finding the Fourth Proportional to 19,379, 29,068.32 and 12,834.46

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Solution

The fourth proportional to 19,379, 29,068.32 and 12,834.46 is: 19,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,379 : 29,068.32 = 12,834.46 : x
  2. Step 2: Convert to fraction form
    19,379/29,068.32 = 12,834.46/x
  3. Step 3: Cross multiply
    19,379x = 29,068.32 × 12,834.46
  4. Step 4: Simplify right side
    19,379x = 373,076,190.31
  5. Step 5: Solve for x
    x = 373,076,190.31/19,379
  6. Step 6: Final answer
    x = 19,251.57

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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.