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Finding the Fourth Proportional to 14,396.26, 21,585.15 and 6,074

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Solution

The fourth proportional to 14,396.26, 21,585.15 and 6,074 is: 9,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.26 : 21,585.15 = 6,074 : x
  2. Step 2: Convert to fraction form
    14,396.26/21,585.15 = 6,074/x
  3. Step 3: Cross multiply
    14,396.26x = 21,585.15 × 6,074
  4. Step 4: Simplify right side
    14,396.26x = 131,108,201.10
  5. Step 5: Solve for x
    x = 131,108,201.10/14,396.26
  6. Step 6: Final answer
    x = 9,107.10

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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.