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Finding the Fourth Proportional to 14,872.34, 20,523.66 and 8,584.58

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Solution

The fourth proportional to 14,872.34, 20,523.66 and 8,584.58 is: 11,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.34 : 20,523.66 = 8,584.58 : x
  2. Step 2: Convert to fraction form
    14,872.34/20,523.66 = 8,584.58/x
  3. Step 3: Cross multiply
    14,872.34x = 20,523.66 × 8,584.58
  4. Step 4: Simplify right side
    14,872.34x = 176,187,001.16
  5. Step 5: Solve for x
    x = 176,187,001.16/14,872.34
  6. Step 6: Final answer
    x = 11,846.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.