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Finding the Fourth Proportional to 14,437.44, 19,923.67 and 7,813.44

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Solution

The fourth proportional to 14,437.44, 19,923.67 and 7,813.44 is: 10,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.44 : 19,923.67 = 7,813.44 : x
  2. Step 2: Convert to fraction form
    14,437.44/19,923.67 = 7,813.44/x
  3. Step 3: Cross multiply
    14,437.44x = 19,923.67 × 7,813.44
  4. Step 4: Simplify right side
    14,437.44x = 155,672,361.06
  5. Step 5: Solve for x
    x = 155,672,361.06/14,437.44
  6. Step 6: Final answer
    x = 10,782.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.