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Finding the Fourth Proportional to 14,396.50, 21,585.46 and 6,074.30

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Solution

The fourth proportional to 14,396.50, 21,585.46 and 6,074.30 is: 9,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.50 : 21,585.46 = 6,074.30 : x
  2. Step 2: Convert to fraction form
    14,396.50/21,585.46 = 6,074.30/x
  3. Step 3: Cross multiply
    14,396.50x = 21,585.46 × 6,074.30
  4. Step 4: Simplify right side
    14,396.50x = 131,116,559.68
  5. Step 5: Solve for x
    x = 131,116,559.68/14,396.50
  6. Step 6: Final answer
    x = 9,107.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.