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Finding the Fourth Proportional to 27,987.36, 38,622.60 and 15,412.16

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Solution

The fourth proportional to 27,987.36, 38,622.60 and 15,412.16 is: 21,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.36 : 38,622.60 = 15,412.16 : x
  2. Step 2: Convert to fraction form
    27,987.36/38,622.60 = 15,412.16/x
  3. Step 3: Cross multiply
    27,987.36x = 38,622.60 × 15,412.16
  4. Step 4: Simplify right side
    27,987.36x = 595,257,690.82
  5. Step 5: Solve for x
    x = 595,257,690.82/27,987.36
  6. Step 6: Final answer
    x = 21,268.80

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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.