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Finding the Fourth Proportional to 14,031.89, 19,364.00 and 7,744.26

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Solution

The fourth proportional to 14,031.89, 19,364.00 and 7,744.26 is: 10,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.89 : 19,364.00 = 7,744.26 : x
  2. Step 2: Convert to fraction form
    14,031.89/19,364.00 = 7,744.26/x
  3. Step 3: Cross multiply
    14,031.89x = 19,364.00 × 7,744.26
  4. Step 4: Simplify right side
    14,031.89x = 149,959,811.92
  5. Step 5: Solve for x
    x = 149,959,811.92/14,031.89
  6. Step 6: Final answer
    x = 10,687.08

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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.