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Finding the Fourth Proportional to 25,887.75, 35,725.10 and 14,709.75

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Solution

The fourth proportional to 25,887.75, 35,725.10 and 14,709.75 is: 20,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,887.75 : 35,725.10 = 14,709.75 : x
  2. Step 2: Convert to fraction form
    25,887.75/35,725.10 = 14,709.75/x
  3. Step 3: Cross multiply
    25,887.75x = 35,725.10 × 14,709.75
  4. Step 4: Simplify right side
    25,887.75x = 525,507,216.18
  5. Step 5: Solve for x
    x = 525,507,216.18/25,887.75
  6. Step 6: Final answer
    x = 20,299.46

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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.