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Finding the Fourth Proportional to 14,673.78, 22,014.77 and 4,819.98

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Solution

The fourth proportional to 14,673.78, 22,014.77 and 4,819.98 is: 7,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.78 : 22,014.77 = 4,819.98 : x
  2. Step 2: Convert to fraction form
    14,673.78/22,014.77 = 4,819.98/x
  3. Step 3: Cross multiply
    14,673.78x = 22,014.77 × 4,819.98
  4. Step 4: Simplify right side
    14,673.78x = 106,110,751.10
  5. Step 5: Solve for x
    x = 106,110,751.10/14,673.78
  6. Step 6: Final answer
    x = 7,231.32

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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.