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Finding the Fourth Proportional to 28,857.40, 39,823.06 and 16,109.84

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Solution

The fourth proportional to 28,857.40, 39,823.06 and 16,109.84 is: 22,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.40 : 39,823.06 = 16,109.84 : x
  2. Step 2: Convert to fraction form
    28,857.40/39,823.06 = 16,109.84/x
  3. Step 3: Cross multiply
    28,857.40x = 39,823.06 × 16,109.84
  4. Step 4: Simplify right side
    28,857.40x = 641,543,124.91
  5. Step 5: Solve for x
    x = 641,543,124.91/28,857.40
  6. Step 6: Final answer
    x = 22,231.49

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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.