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Finding the Fourth Proportional to 13,865.99, 19,134.23 and 7,898.31

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Solution

The fourth proportional to 13,865.99, 19,134.23 and 7,898.31 is: 10,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.99 : 19,134.23 = 7,898.31 : x
  2. Step 2: Convert to fraction form
    13,865.99/19,134.23 = 7,898.31/x
  3. Step 3: Cross multiply
    13,865.99x = 19,134.23 × 7,898.31
  4. Step 4: Simplify right side
    13,865.99x = 151,128,040.66
  5. Step 5: Solve for x
    x = 151,128,040.66/13,865.99
  6. Step 6: Final answer
    x = 10,899.19

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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.