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Finding the Fourth Proportional to 19,704.32, 29,563.47 and 12,114.23

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Solution

The fourth proportional to 19,704.32, 29,563.47 and 12,114.23 is: 18,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.32 : 29,563.47 = 12,114.23 : x
  2. Step 2: Convert to fraction form
    19,704.32/29,563.47 = 12,114.23/x
  3. Step 3: Cross multiply
    19,704.32x = 29,563.47 × 12,114.23
  4. Step 4: Simplify right side
    19,704.32x = 358,138,675.18
  5. Step 5: Solve for x
    x = 358,138,675.18/19,704.32
  6. Step 6: Final answer
    x = 18,175.64

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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.