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Finding the Fourth Proportional to 16,427.75, 24,622.68 and 7,053.82

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Solution

The fourth proportional to 16,427.75, 24,622.68 and 7,053.82 is: 10,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.75 : 24,622.68 = 7,053.82 : x
  2. Step 2: Convert to fraction form
    16,427.75/24,622.68 = 7,053.82/x
  3. Step 3: Cross multiply
    16,427.75x = 24,622.68 × 7,053.82
  4. Step 4: Simplify right side
    16,427.75x = 173,683,917.53
  5. Step 5: Solve for x
    x = 173,683,917.53/16,427.75
  6. Step 6: Final answer
    x = 10,572.60

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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.