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Finding the Fourth Proportional to 14,991, 22,451.48 and 11,849.91

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Solution

The fourth proportional to 14,991, 22,451.48 and 11,849.91 is: 17,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991 : 22,451.48 = 11,849.91 : x
  2. Step 2: Convert to fraction form
    14,991/22,451.48 = 11,849.91/x
  3. Step 3: Cross multiply
    14,991x = 22,451.48 × 11,849.91
  4. Step 4: Simplify right side
    14,991x = 266,048,017.37
  5. Step 5: Solve for x
    x = 266,048,017.37/14,991
  6. Step 6: Final answer
    x = 17,747.18

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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.