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Finding the Fourth Proportional to 16,559.49, 24,839.23 and 9,629.13

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Solution

The fourth proportional to 16,559.49, 24,839.23 and 9,629.13 is: 14,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.49 : 24,839.23 = 9,629.13 : x
  2. Step 2: Convert to fraction form
    16,559.49/24,839.23 = 9,629.13/x
  3. Step 3: Cross multiply
    16,559.49x = 24,839.23 × 9,629.13
  4. Step 4: Simplify right side
    16,559.49x = 239,180,026.50
  5. Step 5: Solve for x
    x = 239,180,026.50/16,559.49
  6. Step 6: Final answer
    x = 14,443.69

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Why These Related Problems?

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