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Finding the Fourth Proportional to 14,372.85, 19,834.50 and 8,085.23

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Solution

The fourth proportional to 14,372.85, 19,834.50 and 8,085.23 is: 11,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.85 : 19,834.50 = 8,085.23 : x
  2. Step 2: Convert to fraction form
    14,372.85/19,834.50 = 8,085.23/x
  3. Step 3: Cross multiply
    14,372.85x = 19,834.50 × 8,085.23
  4. Step 4: Simplify right side
    14,372.85x = 160,366,395.26
  5. Step 5: Solve for x
    x = 160,366,395.26/14,372.85
  6. Step 6: Final answer
    x = 11,157.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.