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Finding the Fourth Proportional to 14,658.14, 21,994.50 and 11,699.61

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Solution

The fourth proportional to 14,658.14, 21,994.50 and 11,699.61 is: 17,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.14 : 21,994.50 = 11,699.61 : x
  2. Step 2: Convert to fraction form
    14,658.14/21,994.50 = 11,699.61/x
  3. Step 3: Cross multiply
    14,658.14x = 21,994.50 × 11,699.61
  4. Step 4: Simplify right side
    14,658.14x = 257,327,072.15
  5. Step 5: Solve for x
    x = 257,327,072.15/14,658.14
  6. Step 6: Final answer
    x = 17,555.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.