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Finding the Fourth Proportional to 22,377.57, 30,880.45 and 12,307.04

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Solution

The fourth proportional to 22,377.57, 30,880.45 and 12,307.04 is: 16,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.57 : 30,880.45 = 12,307.04 : x
  2. Step 2: Convert to fraction form
    22,377.57/30,880.45 = 12,307.04/x
  3. Step 3: Cross multiply
    22,377.57x = 30,880.45 × 12,307.04
  4. Step 4: Simplify right side
    22,377.57x = 380,047,025.95
  5. Step 5: Solve for x
    x = 380,047,025.95/22,377.57
  6. Step 6: Final answer
    x = 16,983.39

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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.