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Finding the Fourth Proportional to 17,823.94, 24,596.67 and 9,865.69

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Solution

The fourth proportional to 17,823.94, 24,596.67 and 9,865.69 is: 13,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.94 : 24,596.67 = 9,865.69 : x
  2. Step 2: Convert to fraction form
    17,823.94/24,596.67 = 9,865.69/x
  3. Step 3: Cross multiply
    17,823.94x = 24,596.67 × 9,865.69
  4. Step 4: Simplify right side
    17,823.94x = 242,663,121.25
  5. Step 5: Solve for x
    x = 242,663,121.25/17,823.94
  6. Step 6: Final answer
    x = 13,614.45

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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.