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Finding the Fourth Proportional to 14,033.70, 19,366.56 and 7,660.34

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Solution

The fourth proportional to 14,033.70, 19,366.56 and 7,660.34 is: 10,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.70 : 19,366.56 = 7,660.34 : x
  2. Step 2: Convert to fraction form
    14,033.70/19,366.56 = 7,660.34/x
  3. Step 3: Cross multiply
    14,033.70x = 19,366.56 × 7,660.34
  4. Step 4: Simplify right side
    14,033.70x = 148,354,434.23
  5. Step 5: Solve for x
    x = 148,354,434.23/14,033.70
  6. Step 6: Final answer
    x = 10,571.30

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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.