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Finding the Fourth Proportional to 25,591.98, 38,369.79 and 9,783.69

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Solution

The fourth proportional to 25,591.98, 38,369.79 and 9,783.69 is: 14,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591.98 : 38,369.79 = 9,783.69 : x
  2. Step 2: Convert to fraction form
    25,591.98/38,369.79 = 9,783.69/x
  3. Step 3: Cross multiply
    25,591.98x = 38,369.79 × 9,783.69
  4. Step 4: Simplify right side
    25,591.98x = 375,397,986.84
  5. Step 5: Solve for x
    x = 375,397,986.84/25,591.98
  6. Step 6: Final answer
    x = 14,668.58

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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.