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Finding the Fourth Proportional to 22,369.85, 30,870.38 and 12,298.94

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Solution

The fourth proportional to 22,369.85, 30,870.38 and 12,298.94 is: 16,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.85 : 30,870.38 = 12,298.94 : x
  2. Step 2: Convert to fraction form
    22,369.85/30,870.38 = 12,298.94/x
  3. Step 3: Cross multiply
    22,369.85x = 30,870.38 × 12,298.94
  4. Step 4: Simplify right side
    22,369.85x = 379,672,951.40
  5. Step 5: Solve for x
    x = 379,672,951.40/22,369.85
  6. Step 6: Final answer
    x = 16,972.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.