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Finding the Fourth Proportional to 36,412, 54,626.64 and 11,788

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Solution

The fourth proportional to 36,412, 54,626.64 and 11,788 is: 17,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,412 : 54,626.64 = 11,788 : x
  2. Step 2: Convert to fraction form
    36,412/54,626.64 = 11,788/x
  3. Step 3: Cross multiply
    36,412x = 54,626.64 × 11,788
  4. Step 4: Simplify right side
    36,412x = 643,938,832.32
  5. Step 5: Solve for x
    x = 643,938,832.32/36,412
  6. Step 6: Final answer
    x = 17,684.80

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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.