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Finding the Fourth Proportional to 28,817.52, 39,769.29 and 16,242

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Solution

The fourth proportional to 28,817.52, 39,769.29 and 16,242 is: 22,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,817.52 : 39,769.29 = 16,242 : x
  2. Step 2: Convert to fraction form
    28,817.52/39,769.29 = 16,242/x
  3. Step 3: Cross multiply
    28,817.52x = 39,769.29 × 16,242
  4. Step 4: Simplify right side
    28,817.52x = 645,932,808.18
  5. Step 5: Solve for x
    x = 645,932,808.18/28,817.52
  6. Step 6: Final answer
    x = 22,414.59

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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.