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Finding the Fourth Proportional to 16,300.09, 24,449.94 and 5,206.63

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Solution

The fourth proportional to 16,300.09, 24,449.94 and 5,206.63 is: 7,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.09 : 24,449.94 = 5,206.63 : x
  2. Step 2: Convert to fraction form
    16,300.09/24,449.94 = 5,206.63/x
  3. Step 3: Cross multiply
    16,300.09x = 24,449.94 × 5,206.63
  4. Step 4: Simplify right side
    16,300.09x = 127,301,791.10
  5. Step 5: Solve for x
    x = 127,301,791.10/16,300.09
  6. Step 6: Final answer
    x = 7,809.88

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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.