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Finding the Fourth Proportional to 14,372.64, 19,834.04 and 8,085

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Solution

The fourth proportional to 14,372.64, 19,834.04 and 8,085 is: 11,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.64 : 19,834.04 = 8,085 : x
  2. Step 2: Convert to fraction form
    14,372.64/19,834.04 = 8,085/x
  3. Step 3: Cross multiply
    14,372.64x = 19,834.04 × 8,085
  4. Step 4: Simplify right side
    14,372.64x = 160,358,213.40
  5. Step 5: Solve for x
    x = 160,358,213.40/14,372.64
  6. Step 6: Final answer
    x = 11,157.19

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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.