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Finding the Fourth Proportional to 13,871.91, 19,143.23 and 7,498.47

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Solution

The fourth proportional to 13,871.91, 19,143.23 and 7,498.47 is: 10,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.91 : 19,143.23 = 7,498.47 : x
  2. Step 2: Convert to fraction form
    13,871.91/19,143.23 = 7,498.47/x
  3. Step 3: Cross multiply
    13,871.91x = 19,143.23 × 7,498.47
  4. Step 4: Simplify right side
    13,871.91x = 143,544,898.37
  5. Step 5: Solve for x
    x = 143,544,898.37/13,871.91
  6. Step 6: Final answer
    x = 10,347.88

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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.