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Finding the Fourth Proportional to 12,407.40, 18,611.10 and 12,277.80

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Solution

The fourth proportional to 12,407.40, 18,611.10 and 12,277.80 is: 18,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.40 : 18,611.10 = 12,277.80 : x
  2. Step 2: Convert to fraction form
    12,407.40/18,611.10 = 12,277.80/x
  3. Step 3: Cross multiply
    12,407.40x = 18,611.10 × 12,277.80
  4. Step 4: Simplify right side
    12,407.40x = 228,503,363.58
  5. Step 5: Solve for x
    x = 228,503,363.58/12,407.40
  6. Step 6: Final answer
    x = 18,416.70

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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.