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Finding the Fourth Proportional to 27,407.45, 37,822.37 and 14,832.20

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Solution

The fourth proportional to 27,407.45, 37,822.37 and 14,832.20 is: 20,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.45 : 37,822.37 = 14,832.20 : x
  2. Step 2: Convert to fraction form
    27,407.45/37,822.37 = 14,832.20/x
  3. Step 3: Cross multiply
    27,407.45x = 37,822.37 × 14,832.20
  4. Step 4: Simplify right side
    27,407.45x = 560,988,693.04
  5. Step 5: Solve for x
    x = 560,988,693.04/27,407.45
  6. Step 6: Final answer
    x = 20,468.48

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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.