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Finding the Fourth Proportional to 13,898.44, 19,179.82 and 7,610.80

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Solution

The fourth proportional to 13,898.44, 19,179.82 and 7,610.80 is: 10,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.44 : 19,179.82 = 7,610.80 : x
  2. Step 2: Convert to fraction form
    13,898.44/19,179.82 = 7,610.80/x
  3. Step 3: Cross multiply
    13,898.44x = 19,179.82 × 7,610.80
  4. Step 4: Simplify right side
    13,898.44x = 145,973,774.06
  5. Step 5: Solve for x
    x = 145,973,774.06/13,898.44
  6. Step 6: Final answer
    x = 10,502.89

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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.