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Finding the Fourth Proportional to 14,031.72, 19,363.80 and 7,744.09

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Solution

The fourth proportional to 14,031.72, 19,363.80 and 7,744.09 is: 10,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.72 : 19,363.80 = 7,744.09 : x
  2. Step 2: Convert to fraction form
    14,031.72/19,363.80 = 7,744.09/x
  3. Step 3: Cross multiply
    14,031.72x = 19,363.80 × 7,744.09
  4. Step 4: Simplify right side
    14,031.72x = 149,955,009.94
  5. Step 5: Solve for x
    x = 149,955,009.94/14,031.72
  6. Step 6: Final answer
    x = 10,686.86

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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.