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Finding the Fourth Proportional to 16,165.15, 22,313.81 and 10,200.71

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Solution

The fourth proportional to 16,165.15, 22,313.81 and 10,200.71 is: 14,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.15 : 22,313.81 = 10,200.71 : x
  2. Step 2: Convert to fraction form
    16,165.15/22,313.81 = 10,200.71/x
  3. Step 3: Cross multiply
    16,165.15x = 22,313.81 × 10,200.71
  4. Step 4: Simplify right side
    16,165.15x = 227,616,704.81
  5. Step 5: Solve for x
    x = 227,616,704.81/16,165.15
  6. Step 6: Final answer
    x = 14,080.70

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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.