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Finding the Fourth Proportional to 25,462, 35,138.10 and 14,284

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Solution

The fourth proportional to 25,462, 35,138.10 and 14,284 is: 19,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462 : 35,138.10 = 14,284 : x
  2. Step 2: Convert to fraction form
    25,462/35,138.10 = 14,284/x
  3. Step 3: Cross multiply
    25,462x = 35,138.10 × 14,284
  4. Step 4: Simplify right side
    25,462x = 501,912,620.40
  5. Step 5: Solve for x
    x = 501,912,620.40/25,462
  6. Step 6: Final answer
    x = 19,712.22

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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.