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Finding the Fourth Proportional to 13,866.49, 19,135.79 and 7,898.41

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Solution

The fourth proportional to 13,866.49, 19,135.79 and 7,898.41 is: 10,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.49 : 19,135.79 = 7,898.41 : x
  2. Step 2: Convert to fraction form
    13,866.49/19,135.79 = 7,898.41/x
  3. Step 3: Cross multiply
    13,866.49x = 19,135.79 × 7,898.41
  4. Step 4: Simplify right side
    13,866.49x = 151,142,373.57
  5. Step 5: Solve for x
    x = 151,142,373.57/13,866.49
  6. Step 6: Final answer
    x = 10,899.83

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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.