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Finding the Fourth Proportional to 27,447.96, 37,878.04 and 14,872.76

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Solution

The fourth proportional to 27,447.96, 37,878.04 and 14,872.76 is: 20,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.96 : 37,878.04 = 14,872.76 : x
  2. Step 2: Convert to fraction form
    27,447.96/37,878.04 = 14,872.76/x
  3. Step 3: Cross multiply
    27,447.96x = 37,878.04 × 14,872.76
  4. Step 4: Simplify right side
    27,447.96x = 563,350,998.19
  5. Step 5: Solve for x
    x = 563,350,998.19/27,447.96
  6. Step 6: Final answer
    x = 20,524.33

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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.