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Finding the Fourth Proportional to 24,960, 37,442.43 and 6,492

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Solution

The fourth proportional to 24,960, 37,442.43 and 6,492 is: 9,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,960 : 37,442.43 = 6,492 : x
  2. Step 2: Convert to fraction form
    24,960/37,442.43 = 6,492/x
  3. Step 3: Cross multiply
    24,960x = 37,442.43 × 6,492
  4. Step 4: Simplify right side
    24,960x = 243,076,255.56
  5. Step 5: Solve for x
    x = 243,076,255.56/24,960
  6. Step 6: Final answer
    x = 9,738.63

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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.