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Finding the Fourth Proportional to 14,123.52, 21,181.24 and 5,690

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Solution

The fourth proportional to 14,123.52, 21,181.24 and 5,690 is: 8,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.52 : 21,181.24 = 5,690 : x
  2. Step 2: Convert to fraction form
    14,123.52/21,181.24 = 5,690/x
  3. Step 3: Cross multiply
    14,123.52x = 21,181.24 × 5,690
  4. Step 4: Simplify right side
    14,123.52x = 120,521,255.60
  5. Step 5: Solve for x
    x = 120,521,255.60/14,123.52
  6. Step 6: Final answer
    x = 8,533.37

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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.