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Finding the Fourth Proportional to 14,153.67, 19,532.75 and 8,488.73

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Solution

The fourth proportional to 14,153.67, 19,532.75 and 8,488.73 is: 11,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.67 : 19,532.75 = 8,488.73 : x
  2. Step 2: Convert to fraction form
    14,153.67/19,532.75 = 8,488.73/x
  3. Step 3: Cross multiply
    14,153.67x = 19,532.75 × 8,488.73
  4. Step 4: Simplify right side
    14,153.67x = 165,808,247.30
  5. Step 5: Solve for x
    x = 165,808,247.30/14,153.67
  6. Step 6: Final answer
    x = 11,714.86

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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.