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Finding the Fourth Proportional to 14,645.46, 21,965.80 and 4,116.20

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Solution

The fourth proportional to 14,645.46, 21,965.80 and 4,116.20 is: 6,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.46 : 21,965.80 = 4,116.20 : x
  2. Step 2: Convert to fraction form
    14,645.46/21,965.80 = 4,116.20/x
  3. Step 3: Cross multiply
    14,645.46x = 21,965.80 × 4,116.20
  4. Step 4: Simplify right side
    14,645.46x = 90,415,625.96
  5. Step 5: Solve for x
    x = 90,415,625.96/14,645.46
  6. Step 6: Final answer
    x = 6,173.63

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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.