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Finding the Fourth Proportional to 27,748.63, 38,288.12 and 16,412.48

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Solution

The fourth proportional to 27,748.63, 38,288.12 and 16,412.48 is: 22,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748.63 : 38,288.12 = 16,412.48 : x
  2. Step 2: Convert to fraction form
    27,748.63/38,288.12 = 16,412.48/x
  3. Step 3: Cross multiply
    27,748.63x = 38,288.12 × 16,412.48
  4. Step 4: Simplify right side
    27,748.63x = 628,403,003.74
  5. Step 5: Solve for x
    x = 628,403,003.74/27,748.63
  6. Step 6: Final answer
    x = 22,646.27

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