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Finding the Fourth Proportional to 13,898.88, 19,182.69 and 7,930.80

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Solution

The fourth proportional to 13,898.88, 19,182.69 and 7,930.80 is: 10,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.88 : 19,182.69 = 7,930.80 : x
  2. Step 2: Convert to fraction form
    13,898.88/19,182.69 = 7,930.80/x
  3. Step 3: Cross multiply
    13,898.88x = 19,182.69 × 7,930.80
  4. Step 4: Simplify right side
    13,898.88x = 152,134,077.85
  5. Step 5: Solve for x
    x = 152,134,077.85/13,898.88
  6. Step 6: Final answer
    x = 10,945.78

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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.