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Finding the Fourth Proportional to 14,634.84, 21,932.82 and 8,397.84

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Solution

The fourth proportional to 14,634.84, 21,932.82 and 8,397.84 is: 12,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.84 : 21,932.82 = 8,397.84 : x
  2. Step 2: Convert to fraction form
    14,634.84/21,932.82 = 8,397.84/x
  3. Step 3: Cross multiply
    14,634.84x = 21,932.82 × 8,397.84
  4. Step 4: Simplify right side
    14,634.84x = 184,188,313.11
  5. Step 5: Solve for x
    x = 184,188,313.11/14,634.84
  6. Step 6: Final answer
    x = 12,585.60

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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.