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Finding the Fourth Proportional to 16,209.66, 24,290.19 and 12,506.34

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Solution

The fourth proportional to 16,209.66, 24,290.19 and 12,506.34 is: 18,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.66 : 24,290.19 = 12,506.34 : x
  2. Step 2: Convert to fraction form
    16,209.66/24,290.19 = 12,506.34/x
  3. Step 3: Cross multiply
    16,209.66x = 24,290.19 × 12,506.34
  4. Step 4: Simplify right side
    16,209.66x = 303,781,374.80
  5. Step 5: Solve for x
    x = 303,781,374.80/16,209.66
  6. Step 6: Final answer
    x = 18,740.76

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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.