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Finding the Fourth Proportional to 14,698.56, 22,048.80 and 5,461.44

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Solution

The fourth proportional to 14,698.56, 22,048.80 and 5,461.44 is: 8,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.56 : 22,048.80 = 5,461.44 : x
  2. Step 2: Convert to fraction form
    14,698.56/22,048.80 = 5,461.44/x
  3. Step 3: Cross multiply
    14,698.56x = 22,048.80 × 5,461.44
  4. Step 4: Simplify right side
    14,698.56x = 120,418,198.27
  5. Step 5: Solve for x
    x = 120,418,198.27/14,698.56
  6. Step 6: Final answer
    x = 8,192.52

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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.