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Finding the Fourth Proportional to 16,490.16, 22,755.87 and 9,416.22

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Solution

The fourth proportional to 16,490.16, 22,755.87 and 9,416.22 is: 12,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.16 : 22,755.87 = 9,416.22 : x
  2. Step 2: Convert to fraction form
    16,490.16/22,755.87 = 9,416.22/x
  3. Step 3: Cross multiply
    16,490.16x = 22,755.87 × 9,416.22
  4. Step 4: Simplify right side
    16,490.16x = 214,274,278.21
  5. Step 5: Solve for x
    x = 214,274,278.21/16,490.16
  6. Step 6: Final answer
    x = 12,994.07

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