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Finding the Fourth Proportional to 16,506.56, 24,706.32 and 12,123.20

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Solution

The fourth proportional to 16,506.56, 24,706.32 and 12,123.20 is: 18,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.56 : 24,706.32 = 12,123.20 : x
  2. Step 2: Convert to fraction form
    16,506.56/24,706.32 = 12,123.20/x
  3. Step 3: Cross multiply
    16,506.56x = 24,706.32 × 12,123.20
  4. Step 4: Simplify right side
    16,506.56x = 299,519,658.62
  5. Step 5: Solve for x
    x = 299,519,658.62/16,506.56
  6. Step 6: Final answer
    x = 18,145.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.