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Finding the Fourth Proportional to 14,509.82, 21,764.10 and 4,649.60

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Solution

The fourth proportional to 14,509.82, 21,764.10 and 4,649.60 is: 6,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.82 : 21,764.10 = 4,649.60 : x
  2. Step 2: Convert to fraction form
    14,509.82/21,764.10 = 4,649.60/x
  3. Step 3: Cross multiply
    14,509.82x = 21,764.10 × 4,649.60
  4. Step 4: Simplify right side
    14,509.82x = 101,194,359.36
  5. Step 5: Solve for x
    x = 101,194,359.36/14,509.82
  6. Step 6: Final answer
    x = 6,974.20

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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.