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Finding the Fourth Proportional to 12,134.64, 18,178.62 and 7,440.96

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Solution

The fourth proportional to 12,134.64, 18,178.62 and 7,440.96 is: 11,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.64 : 18,178.62 = 7,440.96 : x
  2. Step 2: Convert to fraction form
    12,134.64/18,178.62 = 7,440.96/x
  3. Step 3: Cross multiply
    12,134.64x = 18,178.62 × 7,440.96
  4. Step 4: Simplify right side
    12,134.64x = 135,266,384.28
  5. Step 5: Solve for x
    x = 135,266,384.28/12,134.64
  6. Step 6: Final answer
    x = 11,147.13

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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.