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Finding the Fourth Proportional to 14,031.98, 19,364.10 and 7,744.31

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Solution

The fourth proportional to 14,031.98, 19,364.10 and 7,744.31 is: 10,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.98 : 19,364.10 = 7,744.31 : x
  2. Step 2: Convert to fraction form
    14,031.98/19,364.10 = 7,744.31/x
  3. Step 3: Cross multiply
    14,031.98x = 19,364.10 × 7,744.31
  4. Step 4: Simplify right side
    14,031.98x = 149,961,612.64
  5. Step 5: Solve for x
    x = 149,961,612.64/14,031.98
  6. Step 6: Final answer
    x = 10,687.13

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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.