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Finding the Fourth Proportional to 14,828.78, 20,463.61 and 8,114.28

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Solution

The fourth proportional to 14,828.78, 20,463.61 and 8,114.28 is: 11,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.78 : 20,463.61 = 8,114.28 : x
  2. Step 2: Convert to fraction form
    14,828.78/20,463.61 = 8,114.28/x
  3. Step 3: Cross multiply
    14,828.78x = 20,463.61 × 8,114.28
  4. Step 4: Simplify right side
    14,828.78x = 166,047,461.35
  5. Step 5: Solve for x
    x = 166,047,461.35/14,828.78
  6. Step 6: Final answer
    x = 11,197.65

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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.