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Finding the Fourth Proportional to 16,146, 24,220.49 and 5,617.89

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Solution

The fourth proportional to 16,146, 24,220.49 and 5,617.89 is: 8,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146 : 24,220.49 = 5,617.89 : x
  2. Step 2: Convert to fraction form
    16,146/24,220.49 = 5,617.89/x
  3. Step 3: Cross multiply
    16,146x = 24,220.49 × 5,617.89
  4. Step 4: Simplify right side
    16,146x = 136,068,020.48
  5. Step 5: Solve for x
    x = 136,068,020.48/16,146
  6. Step 6: Final answer
    x = 8,427.35

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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.