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Finding the Fourth Proportional to 13,657.80, 20,492.82 and 6,633.96

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Solution

The fourth proportional to 13,657.80, 20,492.82 and 6,633.96 is: 9,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.80 : 20,492.82 = 6,633.96 : x
  2. Step 2: Convert to fraction form
    13,657.80/20,492.82 = 6,633.96/x
  3. Step 3: Cross multiply
    13,657.80x = 20,492.82 × 6,633.96
  4. Step 4: Simplify right side
    13,657.80x = 135,948,548.17
  5. Step 5: Solve for x
    x = 135,948,548.17/13,657.80
  6. Step 6: Final answer
    x = 9,953.91

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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.