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Finding the Fourth Proportional to 25,600.28, 35,325.24 and 14,267

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Solution

The fourth proportional to 25,600.28, 35,325.24 and 14,267 is: 19,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.28 : 35,325.24 = 14,267 : x
  2. Step 2: Convert to fraction form
    25,600.28/35,325.24 = 14,267/x
  3. Step 3: Cross multiply
    25,600.28x = 35,325.24 × 14,267
  4. Step 4: Simplify right side
    25,600.28x = 503,985,199.08
  5. Step 5: Solve for x
    x = 503,985,199.08/25,600.28
  6. Step 6: Final answer
    x = 19,686.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.