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Finding the Fourth Proportional to 14,797.69, 20,421.52 and 8,083.80

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Solution

The fourth proportional to 14,797.69, 20,421.52 and 8,083.80 is: 11,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.69 : 20,421.52 = 8,083.80 : x
  2. Step 2: Convert to fraction form
    14,797.69/20,421.52 = 8,083.80/x
  3. Step 3: Cross multiply
    14,797.69x = 20,421.52 × 8,083.80
  4. Step 4: Simplify right side
    14,797.69x = 165,083,463.17
  5. Step 5: Solve for x
    x = 165,083,463.17/14,797.69
  6. Step 6: Final answer
    x = 11,156.03

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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.