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Finding the Fourth Proportional to 16,782.70, 23,161.41 and 10,068.58

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Solution

The fourth proportional to 16,782.70, 23,161.41 and 10,068.58 is: 13,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.70 : 23,161.41 = 10,068.58 : x
  2. Step 2: Convert to fraction form
    16,782.70/23,161.41 = 10,068.58/x
  3. Step 3: Cross multiply
    16,782.70x = 23,161.41 × 10,068.58
  4. Step 4: Simplify right side
    16,782.70x = 233,202,509.50
  5. Step 5: Solve for x
    x = 233,202,509.50/16,782.70
  6. Step 6: Final answer
    x = 13,895.41

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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.