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Finding the Fourth Proportional to 21,855.48, 30,159.66 and 11,919.48

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Solution

The fourth proportional to 21,855.48, 30,159.66 and 11,919.48 is: 16,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855.48 : 30,159.66 = 11,919.48 : x
  2. Step 2: Convert to fraction form
    21,855.48/30,159.66 = 11,919.48/x
  3. Step 3: Cross multiply
    21,855.48x = 30,159.66 × 11,919.48
  4. Step 4: Simplify right side
    21,855.48x = 359,487,464.18
  5. Step 5: Solve for x
    x = 359,487,464.18/21,855.48
  6. Step 6: Final answer
    x = 16,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.