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Finding the Fourth Proportional to 8,677.80, 13,017.20 and 2,438.30

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Solution

The fourth proportional to 8,677.80, 13,017.20 and 2,438.30 is: 3,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.80 : 13,017.20 = 2,438.30 : x
  2. Step 2: Convert to fraction form
    8,677.80/13,017.20 = 2,438.30/x
  3. Step 3: Cross multiply
    8,677.80x = 13,017.20 × 2,438.30
  4. Step 4: Simplify right side
    8,677.80x = 31,739,770.63
  5. Step 5: Solve for x
    x = 31,739,770.63/8,677.80
  6. Step 6: Final answer
    x = 3,657.58

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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.