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Finding the Fourth Proportional to 14,711.58, 20,302.38 and 7,997.67

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Solution

The fourth proportional to 14,711.58, 20,302.38 and 7,997.67 is: 11,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.58 : 20,302.38 = 7,997.67 : x
  2. Step 2: Convert to fraction form
    14,711.58/20,302.38 = 7,997.67/x
  3. Step 3: Cross multiply
    14,711.58x = 20,302.38 × 7,997.67
  4. Step 4: Simplify right side
    14,711.58x = 162,371,735.45
  5. Step 5: Solve for x
    x = 162,371,735.45/14,711.58
  6. Step 6: Final answer
    x = 11,037.00

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Why These Related Problems?

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