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Finding the Fourth Proportional to 16,675.17, 25,012.80 and 6,814.45

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Solution

The fourth proportional to 16,675.17, 25,012.80 and 6,814.45 is: 10,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.17 : 25,012.80 = 6,814.45 : x
  2. Step 2: Convert to fraction form
    16,675.17/25,012.80 = 6,814.45/x
  3. Step 3: Cross multiply
    16,675.17x = 25,012.80 × 6,814.45
  4. Step 4: Simplify right side
    16,675.17x = 170,448,315.82
  5. Step 5: Solve for x
    x = 170,448,315.82/16,675.17
  6. Step 6: Final answer
    x = 10,221.68

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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.