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Finding the Fourth Proportional to 22,492.46, 33,733.56 and 9,348.86

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Solution

The fourth proportional to 22,492.46, 33,733.56 and 9,348.86 is: 14,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.46 : 33,733.56 = 9,348.86 : x
  2. Step 2: Convert to fraction form
    22,492.46/33,733.56 = 9,348.86/x
  3. Step 3: Cross multiply
    22,492.46x = 33,733.56 × 9,348.86
  4. Step 4: Simplify right side
    22,492.46x = 315,370,329.74
  5. Step 5: Solve for x
    x = 315,370,329.74/22,492.46
  6. Step 6: Final answer
    x = 14,021.16

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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.