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Finding the Fourth Proportional to 12,097.40, 18,167.70 and 8,814.20

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Solution

The fourth proportional to 12,097.40, 18,167.70 and 8,814.20 is: 13,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.40 : 18,167.70 = 8,814.20 : x
  2. Step 2: Convert to fraction form
    12,097.40/18,167.70 = 8,814.20/x
  3. Step 3: Cross multiply
    12,097.40x = 18,167.70 × 8,814.20
  4. Step 4: Simplify right side
    12,097.40x = 160,133,741.34
  5. Step 5: Solve for x
    x = 160,133,741.34/12,097.40
  6. Step 6: Final answer
    x = 13,237.04

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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.