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Finding the Fourth Proportional to 25,398, 35,048.16 and 14,067.45

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Solution

The fourth proportional to 25,398, 35,048.16 and 14,067.45 is: 19,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398 : 35,048.16 = 14,067.45 : x
  2. Step 2: Convert to fraction form
    25,398/35,048.16 = 14,067.45/x
  3. Step 3: Cross multiply
    25,398x = 35,048.16 × 14,067.45
  4. Step 4: Simplify right side
    25,398x = 493,038,238.39
  5. Step 5: Solve for x
    x = 493,038,238.39/25,398
  6. Step 6: Final answer
    x = 19,412.48

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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.