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Finding the Fourth Proportional to 13,706.46, 20,543.13 and 6,675.94

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Solution

The fourth proportional to 13,706.46, 20,543.13 and 6,675.94 is: 10,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.46 : 20,543.13 = 6,675.94 : x
  2. Step 2: Convert to fraction form
    13,706.46/20,543.13 = 6,675.94/x
  3. Step 3: Cross multiply
    13,706.46x = 20,543.13 × 6,675.94
  4. Step 4: Simplify right side
    13,706.46x = 137,144,567.20
  5. Step 5: Solve for x
    x = 137,144,567.20/13,706.46
  6. Step 6: Final answer
    x = 10,005.84

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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.