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Finding the Fourth Proportional to 25,993.65, 35,871.37 and 14,056.95

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Solution

The fourth proportional to 25,993.65, 35,871.37 and 14,056.95 is: 19,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.65 : 35,871.37 = 14,056.95 : x
  2. Step 2: Convert to fraction form
    25,993.65/35,871.37 = 14,056.95/x
  3. Step 3: Cross multiply
    25,993.65x = 35,871.37 × 14,056.95
  4. Step 4: Simplify right side
    25,993.65x = 504,242,019.38
  5. Step 5: Solve for x
    x = 504,242,019.38/25,993.65
  6. Step 6: Final answer
    x = 19,398.66

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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.