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Finding the Fourth Proportional to 25,524, 35,223.12 and 14,346

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Solution

The fourth proportional to 25,524, 35,223.12 and 14,346 is: 19,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524 : 35,223.12 = 14,346 : x
  2. Step 2: Convert to fraction form
    25,524/35,223.12 = 14,346/x
  3. Step 3: Cross multiply
    25,524x = 35,223.12 × 14,346
  4. Step 4: Simplify right side
    25,524x = 505,310,879.52
  5. Step 5: Solve for x
    x = 505,310,879.52/25,524
  6. Step 6: Final answer
    x = 19,797.48

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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.