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Finding the Fourth Proportional to 14,467.68, 21,704.22 and 6,570.75

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Solution

The fourth proportional to 14,467.68, 21,704.22 and 6,570.75 is: 9,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.68 : 21,704.22 = 6,570.75 : x
  2. Step 2: Convert to fraction form
    14,467.68/21,704.22 = 6,570.75/x
  3. Step 3: Cross multiply
    14,467.68x = 21,704.22 × 6,570.75
  4. Step 4: Simplify right side
    14,467.68x = 142,613,003.57
  5. Step 5: Solve for x
    x = 142,613,003.57/14,467.68
  6. Step 6: Final answer
    x = 9,857.35

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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.