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Finding the Fourth Proportional to 25,465.29, 38,206.85 and 9,893.85

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Solution

The fourth proportional to 25,465.29, 38,206.85 and 9,893.85 is: 14,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.29 : 38,206.85 = 9,893.85 : x
  2. Step 2: Convert to fraction form
    25,465.29/38,206.85 = 9,893.85/x
  3. Step 3: Cross multiply
    25,465.29x = 38,206.85 × 9,893.85
  4. Step 4: Simplify right side
    25,465.29x = 378,012,793.40
  5. Step 5: Solve for x
    x = 378,012,793.40/25,465.29
  6. Step 6: Final answer
    x = 14,844.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.