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Finding the Fourth Proportional to 24,492.78, 36,733.65 and 6,962.22

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Solution

The fourth proportional to 24,492.78, 36,733.65 and 6,962.22 is: 10,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.78 : 36,733.65 = 6,962.22 : x
  2. Step 2: Convert to fraction form
    24,492.78/36,733.65 = 6,962.22/x
  3. Step 3: Cross multiply
    24,492.78x = 36,733.65 × 6,962.22
  4. Step 4: Simplify right side
    24,492.78x = 255,747,752.70
  5. Step 5: Solve for x
    x = 255,747,752.70/24,492.78
  6. Step 6: Final answer
    x = 10,441.76

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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.