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Finding the Fourth Proportional to 14,462.28, 19,958.28 and 8,175

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Solution

The fourth proportional to 14,462.28, 19,958.28 and 8,175 is: 11,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.28 : 19,958.28 = 8,175 : x
  2. Step 2: Convert to fraction form
    14,462.28/19,958.28 = 8,175/x
  3. Step 3: Cross multiply
    14,462.28x = 19,958.28 × 8,175
  4. Step 4: Simplify right side
    14,462.28x = 163,158,939
  5. Step 5: Solve for x
    x = 163,158,939/14,462.28
  6. Step 6: Final answer
    x = 11,281.69

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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.