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Finding the Fourth Proportional to 14,484.60, 21,728.70 and 6,165.78

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Solution

The fourth proportional to 14,484.60, 21,728.70 and 6,165.78 is: 9,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.60 : 21,728.70 = 6,165.78 : x
  2. Step 2: Convert to fraction form
    14,484.60/21,728.70 = 6,165.78/x
  3. Step 3: Cross multiply
    14,484.60x = 21,728.70 × 6,165.78
  4. Step 4: Simplify right side
    14,484.60x = 133,974,383.89
  5. Step 5: Solve for x
    x = 133,974,383.89/14,484.60
  6. Step 6: Final answer
    x = 9,249.44

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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.