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Finding the Fourth Proportional to 13,820.34, 20,732.49 and 4,457.34

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Solution

The fourth proportional to 13,820.34, 20,732.49 and 4,457.34 is: 6,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.34 : 20,732.49 = 4,457.34 : x
  2. Step 2: Convert to fraction form
    13,820.34/20,732.49 = 4,457.34/x
  3. Step 3: Cross multiply
    13,820.34x = 20,732.49 × 4,457.34
  4. Step 4: Simplify right side
    13,820.34x = 92,411,756.98
  5. Step 5: Solve for x
    x = 92,411,756.98/13,820.34
  6. Step 6: Final answer
    x = 6,686.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.