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Finding the Fourth Proportional to 25,653.15, 35,401.17 and 14,322

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Solution

The fourth proportional to 25,653.15, 35,401.17 and 14,322 is: 19,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.15 : 35,401.17 = 14,322 : x
  2. Step 2: Convert to fraction form
    25,653.15/35,401.17 = 14,322/x
  3. Step 3: Cross multiply
    25,653.15x = 35,401.17 × 14,322
  4. Step 4: Simplify right side
    25,653.15x = 507,015,556.74
  5. Step 5: Solve for x
    x = 507,015,556.74/25,653.15
  6. Step 6: Final answer
    x = 19,764.26

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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.