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Finding the Fourth Proportional to 16,547.54, 24,825.38 and 8,231.49

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Solution

The fourth proportional to 16,547.54, 24,825.38 and 8,231.49 is: 12,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.54 : 24,825.38 = 8,231.49 : x
  2. Step 2: Convert to fraction form
    16,547.54/24,825.38 = 8,231.49/x
  3. Step 3: Cross multiply
    16,547.54x = 24,825.38 × 8,231.49
  4. Step 4: Simplify right side
    16,547.54x = 204,349,826.06
  5. Step 5: Solve for x
    x = 204,349,826.06/16,547.54
  6. Step 6: Final answer
    x = 12,349.26

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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.