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Finding the Fourth Proportional to 14,469.84, 21,708 and 7,892.64

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Solution

The fourth proportional to 14,469.84, 21,708 and 7,892.64 is: 11,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.84 : 21,708 = 7,892.64 : x
  2. Step 2: Convert to fraction form
    14,469.84/21,708 = 7,892.64/x
  3. Step 3: Cross multiply
    14,469.84x = 21,708 × 7,892.64
  4. Step 4: Simplify right side
    14,469.84x = 171,333,429.12
  5. Step 5: Solve for x
    x = 171,333,429.12/14,469.84
  6. Step 6: Final answer
    x = 11,840.73

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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.