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Finding the Fourth Proportional to 14,171.80, 21,257.96 and 6,165.76

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Solution

The fourth proportional to 14,171.80, 21,257.96 and 6,165.76 is: 9,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.80 : 21,257.96 = 6,165.76 : x
  2. Step 2: Convert to fraction form
    14,171.80/21,257.96 = 6,165.76/x
  3. Step 3: Cross multiply
    14,171.80x = 21,257.96 × 6,165.76
  4. Step 4: Simplify right side
    14,171.80x = 131,071,479.45
  5. Step 5: Solve for x
    x = 131,071,479.45/14,171.80
  6. Step 6: Final answer
    x = 9,248.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.