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Finding the Fourth Proportional to 27,456.25, 37,889.76 and 14,881

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Solution

The fourth proportional to 27,456.25, 37,889.76 and 14,881 is: 20,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.25 : 37,889.76 = 14,881 : x
  2. Step 2: Convert to fraction form
    27,456.25/37,889.76 = 14,881/x
  3. Step 3: Cross multiply
    27,456.25x = 37,889.76 × 14,881
  4. Step 4: Simplify right side
    27,456.25x = 563,837,518.56
  5. Step 5: Solve for x
    x = 563,837,518.56/27,456.25
  6. Step 6: Final answer
    x = 20,535.85

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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.