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Finding the Fourth Proportional to 14,476.56, 19,977.36 and 10,223.16

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Solution

The fourth proportional to 14,476.56, 19,977.36 and 10,223.16 is: 14,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.56 : 19,977.36 = 10,223.16 : x
  2. Step 2: Convert to fraction form
    14,476.56/19,977.36 = 10,223.16/x
  3. Step 3: Cross multiply
    14,476.56x = 19,977.36 × 10,223.16
  4. Step 4: Simplify right side
    14,476.56x = 204,231,747.66
  5. Step 5: Solve for x
    x = 204,231,747.66/14,476.56
  6. Step 6: Final answer
    x = 14,107.75

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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.