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Finding the Fourth Proportional to 27,945, 38,561.76 and 16,458.09

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Solution

The fourth proportional to 27,945, 38,561.76 and 16,458.09 is: 22,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 38,561.76 = 16,458.09 : x
  2. Step 2: Convert to fraction form
    27,945/38,561.76 = 16,458.09/x
  3. Step 3: Cross multiply
    27,945x = 38,561.76 × 16,458.09
  4. Step 4: Simplify right side
    27,945x = 634,652,916.64
  5. Step 5: Solve for x
    x = 634,652,916.64/27,945
  6. Step 6: Final answer
    x = 22,710.79

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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.