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Finding the Fourth Proportional to 12,868.46, 17,766.50 and 9,878.34

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Solution

The fourth proportional to 12,868.46, 17,766.50 and 9,878.34 is: 13,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.46 : 17,766.50 = 9,878.34 : x
  2. Step 2: Convert to fraction form
    12,868.46/17,766.50 = 9,878.34/x
  3. Step 3: Cross multiply
    12,868.46x = 17,766.50 × 9,878.34
  4. Step 4: Simplify right side
    12,868.46x = 175,503,527.61
  5. Step 5: Solve for x
    x = 175,503,527.61/12,868.46
  6. Step 6: Final answer
    x = 13,638.27

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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.