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Finding the Fourth Proportional to 25,206.72, 34,786.02 and 14,453.16

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Solution

The fourth proportional to 25,206.72, 34,786.02 and 14,453.16 is: 19,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.72 : 34,786.02 = 14,453.16 : x
  2. Step 2: Convert to fraction form
    25,206.72/34,786.02 = 14,453.16/x
  3. Step 3: Cross multiply
    25,206.72x = 34,786.02 × 14,453.16
  4. Step 4: Simplify right side
    25,206.72x = 502,767,912.82
  5. Step 5: Solve for x
    x = 502,767,912.82/25,206.72
  6. Step 6: Final answer
    x = 19,945.79

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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.