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Finding the Fourth Proportional to 25,811.24, 38,693.93 and 9,169.08

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Solution

The fourth proportional to 25,811.24, 38,693.93 and 9,169.08 is: 13,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,811.24 : 38,693.93 = 9,169.08 : x
  2. Step 2: Convert to fraction form
    25,811.24/38,693.93 = 9,169.08/x
  3. Step 3: Cross multiply
    25,811.24x = 38,693.93 × 9,169.08
  4. Step 4: Simplify right side
    25,811.24x = 354,787,693.84
  5. Step 5: Solve for x
    x = 354,787,693.84/25,811.24
  6. Step 6: Final answer
    x = 13,745.47

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Why These Related Problems?

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