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Finding the Fourth Proportional to 11,624.40, 17,425.80 and 8,114.40

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Solution

The fourth proportional to 11,624.40, 17,425.80 and 8,114.40 is: 12,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.40 : 17,425.80 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    11,624.40/17,425.80 = 8,114.40/x
  3. Step 3: Cross multiply
    11,624.40x = 17,425.80 × 8,114.40
  4. Step 4: Simplify right side
    11,624.40x = 141,399,911.52
  5. Step 5: Solve for x
    x = 141,399,911.52/11,624.40
  6. Step 6: Final answer
    x = 12,164.06

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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.