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Finding the Fourth Proportional to 14,123.83, 21,185.78 and 5,798.05

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Solution

The fourth proportional to 14,123.83, 21,185.78 and 5,798.05 is: 8,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.83 : 21,185.78 = 5,798.05 : x
  2. Step 2: Convert to fraction form
    14,123.83/21,185.78 = 5,798.05/x
  3. Step 3: Cross multiply
    14,123.83x = 21,185.78 × 5,798.05
  4. Step 4: Simplify right side
    14,123.83x = 122,836,211.73
  5. Step 5: Solve for x
    x = 122,836,211.73/14,123.83
  6. Step 6: Final answer
    x = 8,697.09

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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.