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Finding the Fourth Proportional to 14,676.84, 20,253.69 and 8,128.16

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Solution

The fourth proportional to 14,676.84, 20,253.69 and 8,128.16 is: 11,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.84 : 20,253.69 = 8,128.16 : x
  2. Step 2: Convert to fraction form
    14,676.84/20,253.69 = 8,128.16/x
  3. Step 3: Cross multiply
    14,676.84x = 20,253.69 × 8,128.16
  4. Step 4: Simplify right side
    14,676.84x = 164,625,131.64
  5. Step 5: Solve for x
    x = 164,625,131.64/14,676.84
  6. Step 6: Final answer
    x = 11,216.66

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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.