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Finding the Fourth Proportional to 14,226.50, 21,352.44 and 7,477.58

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Solution

The fourth proportional to 14,226.50, 21,352.44 and 7,477.58 is: 11,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.50 : 21,352.44 = 7,477.58 : x
  2. Step 2: Convert to fraction form
    14,226.50/21,352.44 = 7,477.58/x
  3. Step 3: Cross multiply
    14,226.50x = 21,352.44 × 7,477.58
  4. Step 4: Simplify right side
    14,226.50x = 159,664,578.30
  5. Step 5: Solve for x
    x = 159,664,578.30/14,226.50
  6. Step 6: Final answer
    x = 11,223.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.