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Finding the Fourth Proportional to 25,465.83, 35,147.05 and 14,138.96

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Solution

The fourth proportional to 25,465.83, 35,147.05 and 14,138.96 is: 19,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.83 : 35,147.05 = 14,138.96 : x
  2. Step 2: Convert to fraction form
    25,465.83/35,147.05 = 14,138.96/x
  3. Step 3: Cross multiply
    25,465.83x = 35,147.05 × 14,138.96
  4. Step 4: Simplify right side
    25,465.83x = 496,942,522.99
  5. Step 5: Solve for x
    x = 496,942,522.99/25,465.83
  6. Step 6: Final answer
    x = 19,514.09

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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.