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Finding the Fourth Proportional to 24,675.84, 37,006.08 and 8,256

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Solution

The fourth proportional to 24,675.84, 37,006.08 and 8,256 is: 12,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.84 : 37,006.08 = 8,256 : x
  2. Step 2: Convert to fraction form
    24,675.84/37,006.08 = 8,256/x
  3. Step 3: Cross multiply
    24,675.84x = 37,006.08 × 8,256
  4. Step 4: Simplify right side
    24,675.84x = 305,522,196.48
  5. Step 5: Solve for x
    x = 305,522,196.48/24,675.84
  6. Step 6: Final answer
    x = 12,381.43

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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.