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Finding the Fourth Proportional to 14,222.22, 21,333.24 and 7,651.50

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Solution

The fourth proportional to 14,222.22, 21,333.24 and 7,651.50 is: 11,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.22 : 21,333.24 = 7,651.50 : x
  2. Step 2: Convert to fraction form
    14,222.22/21,333.24 = 7,651.50/x
  3. Step 3: Cross multiply
    14,222.22x = 21,333.24 × 7,651.50
  4. Step 4: Simplify right side
    14,222.22x = 163,231,285.86
  5. Step 5: Solve for x
    x = 163,231,285.86/14,222.22
  6. Step 6: Final answer
    x = 11,477.20

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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.