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Finding the Fourth Proportional to 25,991.78, 35,868.78 and 14,055.08

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Solution

The fourth proportional to 25,991.78, 35,868.78 and 14,055.08 is: 19,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,991.78 : 35,868.78 = 14,055.08 : x
  2. Step 2: Convert to fraction form
    25,991.78/35,868.78 = 14,055.08/x
  3. Step 3: Cross multiply
    25,991.78x = 35,868.78 × 14,055.08
  4. Step 4: Simplify right side
    25,991.78x = 504,138,393.06
  5. Step 5: Solve for x
    x = 504,138,393.06/25,991.78
  6. Step 6: Final answer
    x = 19,396.07

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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.