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Finding the Fourth Proportional to 24,553.94, 36,830.89 and 7,916.44

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Solution

The fourth proportional to 24,553.94, 36,830.89 and 7,916.44 is: 11,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.94 : 36,830.89 = 7,916.44 : x
  2. Step 2: Convert to fraction form
    24,553.94/36,830.89 = 7,916.44/x
  3. Step 3: Cross multiply
    24,553.94x = 36,830.89 × 7,916.44
  4. Step 4: Simplify right side
    24,553.94x = 291,569,473.18
  5. Step 5: Solve for x
    x = 291,569,473.18/24,553.94
  6. Step 6: Final answer
    x = 11,874.65

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1.5x scale

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.