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Finding the Fourth Proportional to 27,346.52, 37,739.58 and 16,733

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Solution

The fourth proportional to 27,346.52, 37,739.58 and 16,733 is: 23,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.52 : 37,739.58 = 16,733 : x
  2. Step 2: Convert to fraction form
    27,346.52/37,739.58 = 16,733/x
  3. Step 3: Cross multiply
    27,346.52x = 37,739.58 × 16,733
  4. Step 4: Simplify right side
    27,346.52x = 631,496,392.14
  5. Step 5: Solve for x
    x = 631,496,392.14/27,346.52
  6. Step 6: Final answer
    x = 23,092.39

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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.