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Finding the Fourth Proportional to 14,072.40, 19,424.34 and 8,411.31

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Solution

The fourth proportional to 14,072.40, 19,424.34 and 8,411.31 is: 11,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.40 : 19,424.34 = 8,411.31 : x
  2. Step 2: Convert to fraction form
    14,072.40/19,424.34 = 8,411.31/x
  3. Step 3: Cross multiply
    14,072.40x = 19,424.34 × 8,411.31
  4. Step 4: Simplify right side
    14,072.40x = 163,384,145.29
  5. Step 5: Solve for x
    x = 163,384,145.29/14,072.40
  6. Step 6: Final answer
    x = 11,610.25

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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.