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Finding the Fourth Proportional to 12,103.29, 16,661.07 and 10,500.50

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Solution

The fourth proportional to 12,103.29, 16,661.07 and 10,500.50 is: 14,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.29 : 16,661.07 = 10,500.50 : x
  2. Step 2: Convert to fraction form
    12,103.29/16,661.07 = 10,500.50/x
  3. Step 3: Cross multiply
    12,103.29x = 16,661.07 × 10,500.50
  4. Step 4: Simplify right side
    12,103.29x = 174,949,607.19
  5. Step 5: Solve for x
    x = 174,949,607.19/12,103.29
  6. Step 6: Final answer
    x = 14,454.71

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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.