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Finding the Fourth Proportional to 14,410.56, 19,886.59 and 7,786.56

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Solution

The fourth proportional to 14,410.56, 19,886.59 and 7,786.56 is: 10,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.56 : 19,886.59 = 7,786.56 : x
  2. Step 2: Convert to fraction form
    14,410.56/19,886.59 = 7,786.56/x
  3. Step 3: Cross multiply
    14,410.56x = 19,886.59 × 7,786.56
  4. Step 4: Simplify right side
    14,410.56x = 154,848,126.23
  5. Step 5: Solve for x
    x = 154,848,126.23/14,410.56
  6. Step 6: Final answer
    x = 10,745.46

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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.