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Finding the Fourth Proportional to 14,570.42, 21,839.22 and 5,795.08

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Solution

The fourth proportional to 14,570.42, 21,839.22 and 5,795.08 is: 8,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.42 : 21,839.22 = 5,795.08 : x
  2. Step 2: Convert to fraction form
    14,570.42/21,839.22 = 5,795.08/x
  3. Step 3: Cross multiply
    14,570.42x = 21,839.22 × 5,795.08
  4. Step 4: Simplify right side
    14,570.42x = 126,560,027.04
  5. Step 5: Solve for x
    x = 126,560,027.04/14,570.42
  6. Step 6: Final answer
    x = 8,686.09

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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.