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Finding the Fourth Proportional to 13,754.31, 20,584.71 and 8,492.64

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Solution

The fourth proportional to 13,754.31, 20,584.71 and 8,492.64 is: 12,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.31 : 20,584.71 = 8,492.64 : x
  2. Step 2: Convert to fraction form
    13,754.31/20,584.71 = 8,492.64/x
  3. Step 3: Cross multiply
    13,754.31x = 20,584.71 × 8,492.64
  4. Step 4: Simplify right side
    13,754.31x = 174,818,531.53
  5. Step 5: Solve for x
    x = 174,818,531.53/13,754.31
  6. Step 6: Final answer
    x = 12,710.09

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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.