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Finding the Fourth Proportional to 27,407.67, 37,822.95 and 14,832.42

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Solution

The fourth proportional to 27,407.67, 37,822.95 and 14,832.42 is: 20,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.67 : 37,822.95 = 14,832.42 : x
  2. Step 2: Convert to fraction form
    27,407.67/37,822.95 = 14,832.42/x
  3. Step 3: Cross multiply
    27,407.67x = 37,822.95 × 14,832.42
  4. Step 4: Simplify right side
    27,407.67x = 561,005,738.20
  5. Step 5: Solve for x
    x = 561,005,738.20/27,407.67
  6. Step 6: Final answer
    x = 20,468.93

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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.