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Finding the Fourth Proportional to 27,409, 37,824.42 and 14,833.84

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Solution

The fourth proportional to 27,409, 37,824.42 and 14,833.84 is: 20,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409 : 37,824.42 = 14,833.84 : x
  2. Step 2: Convert to fraction form
    27,409/37,824.42 = 14,833.84/x
  3. Step 3: Cross multiply
    27,409x = 37,824.42 × 14,833.84
  4. Step 4: Simplify right side
    27,409x = 561,081,394.37
  5. Step 5: Solve for x
    x = 561,081,394.37/27,409
  6. Step 6: Final answer
    x = 20,470.70

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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.