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Finding the Fourth Proportional to 28,782.28, 39,723.18 and 16,207

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Solution

The fourth proportional to 28,782.28, 39,723.18 and 16,207 is: 22,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,782.28 : 39,723.18 = 16,207 : x
  2. Step 2: Convert to fraction form
    28,782.28/39,723.18 = 16,207/x
  3. Step 3: Cross multiply
    28,782.28x = 39,723.18 × 16,207
  4. Step 4: Simplify right side
    28,782.28x = 643,793,578.26
  5. Step 5: Solve for x
    x = 643,793,578.26/28,782.28
  6. Step 6: Final answer
    x = 22,367.71

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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.