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Finding the Fourth Proportional to 14,649.63, 21,982.64 and 5,890.70

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Solution

The fourth proportional to 14,649.63, 21,982.64 and 5,890.70 is: 8,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.63 : 21,982.64 = 5,890.70 : x
  2. Step 2: Convert to fraction form
    14,649.63/21,982.64 = 5,890.70/x
  3. Step 3: Cross multiply
    14,649.63x = 21,982.64 × 5,890.70
  4. Step 4: Simplify right side
    14,649.63x = 129,492,998.08
  5. Step 5: Solve for x
    x = 129,492,998.08/14,649.63
  6. Step 6: Final answer
    x = 8,839.34

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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.