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Finding the Fourth Proportional to 16,490, 22,755.96 and 9,416

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Solution

The fourth proportional to 16,490, 22,755.96 and 9,416 is: 12,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490 : 22,755.96 = 9,416 : x
  2. Step 2: Convert to fraction form
    16,490/22,755.96 = 9,416/x
  3. Step 3: Cross multiply
    16,490x = 22,755.96 × 9,416
  4. Step 4: Simplify right side
    16,490x = 214,270,119.36
  5. Step 5: Solve for x
    x = 214,270,119.36/16,490
  6. Step 6: Final answer
    x = 12,993.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.