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Finding the Fourth Proportional to 16,434.96, 24,660 and 6,054

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Solution

The fourth proportional to 16,434.96, 24,660 and 6,054 is: 9,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.96 : 24,660 = 6,054 : x
  2. Step 2: Convert to fraction form
    16,434.96/24,660 = 6,054/x
  3. Step 3: Cross multiply
    16,434.96x = 24,660 × 6,054
  4. Step 4: Simplify right side
    16,434.96x = 149,291,640
  5. Step 5: Solve for x
    x = 149,291,640/16,434.96
  6. Step 6: Final answer
    x = 9,083.78

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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.