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Finding the Fourth Proportional to 16,829, 25,242.46 and 5,141.28

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Solution

The fourth proportional to 16,829, 25,242.46 and 5,141.28 is: 7,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829 : 25,242.46 = 5,141.28 : x
  2. Step 2: Convert to fraction form
    16,829/25,242.46 = 5,141.28/x
  3. Step 3: Cross multiply
    16,829x = 25,242.46 × 5,141.28
  4. Step 4: Simplify right side
    16,829x = 129,778,554.75
  5. Step 5: Solve for x
    x = 129,778,554.75/16,829
  6. Step 6: Final answer
    x = 7,711.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.