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Finding the Fourth Proportional to 27,739.63, 38,276.26 and 15,803.20

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Solution

The fourth proportional to 27,739.63, 38,276.26 and 15,803.20 is: 21,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.63 : 38,276.26 = 15,803.20 : x
  2. Step 2: Convert to fraction form
    27,739.63/38,276.26 = 15,803.20/x
  3. Step 3: Cross multiply
    27,739.63x = 38,276.26 × 15,803.20
  4. Step 4: Simplify right side
    27,739.63x = 604,887,392.03
  5. Step 5: Solve for x
    x = 604,887,392.03/27,739.63
  6. Step 6: Final answer
    x = 21,805.89

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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.