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Finding the Fourth Proportional to 14,583.16, 21,874.92 and 4,195

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Solution

The fourth proportional to 14,583.16, 21,874.92 and 4,195 is: 6,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.16 : 21,874.92 = 4,195 : x
  2. Step 2: Convert to fraction form
    14,583.16/21,874.92 = 4,195/x
  3. Step 3: Cross multiply
    14,583.16x = 21,874.92 × 4,195
  4. Step 4: Simplify right side
    14,583.16x = 91,765,289.40
  5. Step 5: Solve for x
    x = 91,765,289.40/14,583.16
  6. Step 6: Final answer
    x = 6,292.55

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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.