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Finding the Fourth Proportional to 24,803.84, 37,198.08 and 8,384

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Solution

The fourth proportional to 24,803.84, 37,198.08 and 8,384 is: 12,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.84 : 37,198.08 = 8,384 : x
  2. Step 2: Convert to fraction form
    24,803.84/37,198.08 = 8,384/x
  3. Step 3: Cross multiply
    24,803.84x = 37,198.08 × 8,384
  4. Step 4: Simplify right side
    24,803.84x = 311,868,702.72
  5. Step 5: Solve for x
    x = 311,868,702.72/24,803.84
  6. Step 6: Final answer
    x = 12,573.40

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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.