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Finding the Fourth Proportional to 14,751, 22,074.54 and 9,206.96

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Solution

The fourth proportional to 14,751, 22,074.54 and 9,206.96 is: 13,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 22,074.54 = 9,206.96 : x
  2. Step 2: Convert to fraction form
    14,751/22,074.54 = 9,206.96/x
  3. Step 3: Cross multiply
    14,751x = 22,074.54 × 9,206.96
  4. Step 4: Simplify right side
    14,751x = 203,239,406.80
  5. Step 5: Solve for x
    x = 203,239,406.80/14,751
  6. Step 6: Final answer
    x = 13,778.01

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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.