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Finding the Fourth Proportional to 27,736.83, 38,268.45 and 16,407.63

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Solution

The fourth proportional to 27,736.83, 38,268.45 and 16,407.63 is: 22,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736.83 : 38,268.45 = 16,407.63 : x
  2. Step 2: Convert to fraction form
    27,736.83/38,268.45 = 16,407.63/x
  3. Step 3: Cross multiply
    27,736.83x = 38,268.45 × 16,407.63
  4. Step 4: Simplify right side
    27,736.83x = 627,894,568.27
  5. Step 5: Solve for x
    x = 627,894,568.27/27,736.83
  6. Step 6: Final answer
    x = 22,637.57

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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.