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Finding the Fourth Proportional to 22,164.98, 33,247.48 and 12,924.50

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Solution

The fourth proportional to 22,164.98, 33,247.48 and 12,924.50 is: 19,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.98 : 33,247.48 = 12,924.50 : x
  2. Step 2: Convert to fraction form
    22,164.98/33,247.48 = 12,924.50/x
  3. Step 3: Cross multiply
    22,164.98x = 33,247.48 × 12,924.50
  4. Step 4: Simplify right side
    22,164.98x = 429,707,055.26
  5. Step 5: Solve for x
    x = 429,707,055.26/22,164.98
  6. Step 6: Final answer
    x = 19,386.76

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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.