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Finding the Fourth Proportional to 14,553.39, 21,830.23 and 11,650.15

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Solution

The fourth proportional to 14,553.39, 21,830.23 and 11,650.15 is: 17,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.39 : 21,830.23 = 11,650.15 : x
  2. Step 2: Convert to fraction form
    14,553.39/21,830.23 = 11,650.15/x
  3. Step 3: Cross multiply
    14,553.39x = 21,830.23 × 11,650.15
  4. Step 4: Simplify right side
    14,553.39x = 254,325,454.03
  5. Step 5: Solve for x
    x = 254,325,454.03/14,553.39
  6. Step 6: Final answer
    x = 17,475.34

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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.