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Finding the Fourth Proportional to 14,649.72, 21,986.86 and 6,336.08

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Solution

The fourth proportional to 14,649.72, 21,986.86 and 6,336.08 is: 9,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.72 : 21,986.86 = 6,336.08 : x
  2. Step 2: Convert to fraction form
    14,649.72/21,986.86 = 6,336.08/x
  3. Step 3: Cross multiply
    14,649.72x = 21,986.86 × 6,336.08
  4. Step 4: Simplify right side
    14,649.72x = 139,310,503.91
  5. Step 5: Solve for x
    x = 139,310,503.91/14,649.72
  6. Step 6: Final answer
    x = 9,509.43

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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.