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Finding the Fourth Proportional to 25,809.46, 35,616.49 and 14,478.75

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Solution

The fourth proportional to 25,809.46, 35,616.49 and 14,478.75 is: 19,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.46 : 35,616.49 = 14,478.75 : x
  2. Step 2: Convert to fraction form
    25,809.46/35,616.49 = 14,478.75/x
  3. Step 3: Cross multiply
    25,809.46x = 35,616.49 × 14,478.75
  4. Step 4: Simplify right side
    25,809.46x = 515,682,246.26
  5. Step 5: Solve for x
    x = 515,682,246.26/25,809.46
  6. Step 6: Final answer
    x = 19,980.36

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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.