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Finding the Fourth Proportional to 14,434.80, 21,654.48 and 6,114.84

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Solution

The fourth proportional to 14,434.80, 21,654.48 and 6,114.84 is: 9,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.80 : 21,654.48 = 6,114.84 : x
  2. Step 2: Convert to fraction form
    14,434.80/21,654.48 = 6,114.84/x
  3. Step 3: Cross multiply
    14,434.80x = 21,654.48 × 6,114.84
  4. Step 4: Simplify right side
    14,434.80x = 132,413,680.48
  5. Step 5: Solve for x
    x = 132,413,680.48/14,434.80
  6. Step 6: Final answer
    x = 9,173.23

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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.