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Finding the Fourth Proportional to 12,806.48, 17,675.88 and 10,706.96

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Solution

The fourth proportional to 12,806.48, 17,675.88 and 10,706.96 is: 14,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.48 : 17,675.88 = 10,706.96 : x
  2. Step 2: Convert to fraction form
    12,806.48/17,675.88 = 10,706.96/x
  3. Step 3: Cross multiply
    12,806.48x = 17,675.88 × 10,706.96
  4. Step 4: Simplify right side
    12,806.48x = 189,254,940.12
  5. Step 5: Solve for x
    x = 189,254,940.12/12,806.48
  6. Step 6: Final answer
    x = 14,778.06

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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.