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Finding the Fourth Proportional to 25,782.63, 35,581.67 and 14,452.13

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Solution

The fourth proportional to 25,782.63, 35,581.67 and 14,452.13 is: 19,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.63 : 35,581.67 = 14,452.13 : x
  2. Step 2: Convert to fraction form
    25,782.63/35,581.67 = 14,452.13/x
  3. Step 3: Cross multiply
    25,782.63x = 35,581.67 × 14,452.13
  4. Step 4: Simplify right side
    25,782.63x = 514,230,796.06
  5. Step 5: Solve for x
    x = 514,230,796.06/25,782.63
  6. Step 6: Final answer
    x = 19,944.86

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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.