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Finding the Fourth Proportional to 16,389.90, 22,617.41 and 9,677.68

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Solution

The fourth proportional to 16,389.90, 22,617.41 and 9,677.68 is: 13,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.90 : 22,617.41 = 9,677.68 : x
  2. Step 2: Convert to fraction form
    16,389.90/22,617.41 = 9,677.68/x
  3. Step 3: Cross multiply
    16,389.90x = 22,617.41 × 9,677.68
  4. Step 4: Simplify right side
    16,389.90x = 218,883,951.48
  5. Step 5: Solve for x
    x = 218,883,951.48/16,389.90
  6. Step 6: Final answer
    x = 13,354.81

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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.