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Finding the Fourth Proportional to 14,174.45, 19,560.74 and 7,886.82

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Solution

The fourth proportional to 14,174.45, 19,560.74 and 7,886.82 is: 10,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.45 : 19,560.74 = 7,886.82 : x
  2. Step 2: Convert to fraction form
    14,174.45/19,560.74 = 7,886.82/x
  3. Step 3: Cross multiply
    14,174.45x = 19,560.74 × 7,886.82
  4. Step 4: Simplify right side
    14,174.45x = 154,271,996.01
  5. Step 5: Solve for x
    x = 154,271,996.01/14,174.45
  6. Step 6: Final answer
    x = 10,883.81

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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.