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Finding the Fourth Proportional to 25,408, 35,063.22 and 14,230

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Solution

The fourth proportional to 25,408, 35,063.22 and 14,230 is: 19,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408 : 35,063.22 = 14,230 : x
  2. Step 2: Convert to fraction form
    25,408/35,063.22 = 14,230/x
  3. Step 3: Cross multiply
    25,408x = 35,063.22 × 14,230
  4. Step 4: Simplify right side
    25,408x = 498,949,620.60
  5. Step 5: Solve for x
    x = 498,949,620.60/25,408
  6. Step 6: Final answer
    x = 19,637.50

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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.