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Finding the Fourth Proportional to 14,570.57, 21,857.67 and 5,209.29

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Solution

The fourth proportional to 14,570.57, 21,857.67 and 5,209.29 is: 7,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.57 : 21,857.67 = 5,209.29 : x
  2. Step 2: Convert to fraction form
    14,570.57/21,857.67 = 5,209.29/x
  3. Step 3: Cross multiply
    14,570.57x = 21,857.67 × 5,209.29
  4. Step 4: Simplify right side
    14,570.57x = 113,862,941.75
  5. Step 5: Solve for x
    x = 113,862,941.75/14,570.57
  6. Step 6: Final answer
    x = 7,814.59

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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.