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Finding the Fourth Proportional to 14,027.98, 19,358.67 and 7,740.54

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Solution

The fourth proportional to 14,027.98, 19,358.67 and 7,740.54 is: 10,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.98 : 19,358.67 = 7,740.54 : x
  2. Step 2: Convert to fraction form
    14,027.98/19,358.67 = 7,740.54/x
  3. Step 3: Cross multiply
    14,027.98x = 19,358.67 × 7,740.54
  4. Step 4: Simplify right side
    14,027.98x = 149,846,559.48
  5. Step 5: Solve for x
    x = 149,846,559.48/14,027.98
  6. Step 6: Final answer
    x = 10,681.98

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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.