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Finding the Fourth Proportional to 25,509.94, 38,267.84 and 6,790.23

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Solution

The fourth proportional to 25,509.94, 38,267.84 and 6,790.23 is: 10,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.94 : 38,267.84 = 6,790.23 : x
  2. Step 2: Convert to fraction form
    25,509.94/38,267.84 = 6,790.23/x
  3. Step 3: Cross multiply
    25,509.94x = 38,267.84 × 6,790.23
  4. Step 4: Simplify right side
    25,509.94x = 259,847,452.18
  5. Step 5: Solve for x
    x = 259,847,452.18/25,509.94
  6. Step 6: Final answer
    x = 10,186.13

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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.