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Finding the Fourth Proportional to 14,012.76, 19,337.84 and 7,725.14

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Solution

The fourth proportional to 14,012.76, 19,337.84 and 7,725.14 is: 10,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.76 : 19,337.84 = 7,725.14 : x
  2. Step 2: Convert to fraction form
    14,012.76/19,337.84 = 7,725.14/x
  3. Step 3: Cross multiply
    14,012.76x = 19,337.84 × 7,725.14
  4. Step 4: Simplify right side
    14,012.76x = 149,387,385.98
  5. Step 5: Solve for x
    x = 149,387,385.98/14,012.76
  6. Step 6: Final answer
    x = 10,660.81

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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.