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Finding the Fourth Proportional to 14,711.61, 20,302.42 and 7,997.69

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Solution

The fourth proportional to 14,711.61, 20,302.42 and 7,997.69 is: 11,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.61 : 20,302.42 = 7,997.69 : x
  2. Step 2: Convert to fraction form
    14,711.61/20,302.42 = 7,997.69/x
  3. Step 3: Cross multiply
    14,711.61x = 20,302.42 × 7,997.69
  4. Step 4: Simplify right side
    14,711.61x = 162,372,461.41
  5. Step 5: Solve for x
    x = 162,372,461.41/14,711.61
  6. Step 6: Final answer
    x = 11,037.03

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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.