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Finding the Fourth Proportional to 12,049.70, 16,830.70 and 12,049.70

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Solution

The fourth proportional to 12,049.70, 16,830.70 and 12,049.70 is: 16,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.70 : 16,830.70 = 12,049.70 : x
  2. Step 2: Convert to fraction form
    12,049.70/16,830.70 = 12,049.70/x
  3. Step 3: Cross multiply
    12,049.70x = 16,830.70 × 12,049.70
  4. Step 4: Simplify right side
    12,049.70x = 202,804,885.79
  5. Step 5: Solve for x
    x = 202,804,885.79/12,049.70
  6. Step 6: Final answer
    x = 16,830.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.