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Finding the Fourth Proportional to 16,206.02, 24,309.02 and 3,894.02

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Solution

The fourth proportional to 16,206.02, 24,309.02 and 3,894.02 is: 5,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.02 : 24,309.02 = 3,894.02 : x
  2. Step 2: Convert to fraction form
    16,206.02/24,309.02 = 3,894.02/x
  3. Step 3: Cross multiply
    16,206.02x = 24,309.02 × 3,894.02
  4. Step 4: Simplify right side
    16,206.02x = 94,659,810.06
  5. Step 5: Solve for x
    x = 94,659,810.06/16,206.02
  6. Step 6: Final answer
    x = 5,841.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.