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Finding the Fourth Proportional to 16,165.45, 22,303.12 and 9,790

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Solution

The fourth proportional to 16,165.45, 22,303.12 and 9,790 is: 13,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.45 : 22,303.12 = 9,790 : x
  2. Step 2: Convert to fraction form
    16,165.45/22,303.12 = 9,790/x
  3. Step 3: Cross multiply
    16,165.45x = 22,303.12 × 9,790
  4. Step 4: Simplify right side
    16,165.45x = 218,347,544.80
  5. Step 5: Solve for x
    x = 218,347,544.80/16,165.45
  6. Step 6: Final answer
    x = 13,507.05

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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.