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Finding the Fourth Proportional to 14,585.54, 21,874.67 and 4,197.29

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Solution

The fourth proportional to 14,585.54, 21,874.67 and 4,197.29 is: 6,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.54 : 21,874.67 = 4,197.29 : x
  2. Step 2: Convert to fraction form
    14,585.54/21,874.67 = 4,197.29/x
  3. Step 3: Cross multiply
    14,585.54x = 21,874.67 × 4,197.29
  4. Step 4: Simplify right side
    14,585.54x = 91,814,367.34
  5. Step 5: Solve for x
    x = 91,814,367.34/14,585.54
  6. Step 6: Final answer
    x = 6,294.89

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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.