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Finding the Fourth Proportional to 27,722.70, 41,605.89 and 12,924

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Solution

The fourth proportional to 27,722.70, 41,605.89 and 12,924 is: 19,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.70 : 41,605.89 = 12,924 : x
  2. Step 2: Convert to fraction form
    27,722.70/41,605.89 = 12,924/x
  3. Step 3: Cross multiply
    27,722.70x = 41,605.89 × 12,924
  4. Step 4: Simplify right side
    27,722.70x = 537,714,522.36
  5. Step 5: Solve for x
    x = 537,714,522.36/27,722.70
  6. Step 6: Final answer
    x = 19,396.18

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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.