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Finding the Fourth Proportional to 28,756.65, 39,695 and 16,823.83

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Solution

The fourth proportional to 28,756.65, 39,695 and 16,823.83 is: 23,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,756.65 : 39,695 = 16,823.83 : x
  2. Step 2: Convert to fraction form
    28,756.65/39,695 = 16,823.83/x
  3. Step 3: Cross multiply
    28,756.65x = 39,695 × 16,823.83
  4. Step 4: Simplify right side
    28,756.65x = 667,821,931.85
  5. Step 5: Solve for x
    x = 667,821,931.85/28,756.65
  6. Step 6: Final answer
    x = 23,223.22

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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.