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Finding the Fourth Proportional to 25,650, 35,399.16 and 14,474.16

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Solution

The fourth proportional to 25,650, 35,399.16 and 14,474.16 is: 19,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 35,399.16 = 14,474.16 : x
  2. Step 2: Convert to fraction form
    25,650/35,399.16 = 14,474.16/x
  3. Step 3: Cross multiply
    25,650x = 35,399.16 × 14,474.16
  4. Step 4: Simplify right side
    25,650x = 512,373,105.71
  5. Step 5: Solve for x
    x = 512,373,105.71/25,650
  6. Step 6: Final answer
    x = 19,975.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.