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Finding the Fourth Proportional to 14,676.34, 20,253.18 and 8,302.84

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Solution

The fourth proportional to 14,676.34, 20,253.18 and 8,302.84 is: 11,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.34 : 20,253.18 = 8,302.84 : x
  2. Step 2: Convert to fraction form
    14,676.34/20,253.18 = 8,302.84/x
  3. Step 3: Cross multiply
    14,676.34x = 20,253.18 × 8,302.84
  4. Step 4: Simplify right side
    14,676.34x = 168,158,913.03
  5. Step 5: Solve for x
    x = 168,158,913.03/14,676.34
  6. Step 6: Final answer
    x = 11,457.82

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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.