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Finding the Fourth Proportional to 12,924.87, 19,368.72 and 7,366.75

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Solution

The fourth proportional to 12,924.87, 19,368.72 and 7,366.75 is: 11,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.87 : 19,368.72 = 7,366.75 : x
  2. Step 2: Convert to fraction form
    12,924.87/19,368.72 = 7,366.75/x
  3. Step 3: Cross multiply
    12,924.87x = 19,368.72 × 7,366.75
  4. Step 4: Simplify right side
    12,924.87x = 142,684,469.64
  5. Step 5: Solve for x
    x = 142,684,469.64/12,924.87
  6. Step 6: Final answer
    x = 11,039.53

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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.