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Finding the Fourth Proportional to 12,133.46, 18,204.64 and 5,115.24

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Solution

The fourth proportional to 12,133.46, 18,204.64 and 5,115.24 is: 7,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.46 : 18,204.64 = 5,115.24 : x
  2. Step 2: Convert to fraction form
    12,133.46/18,204.64 = 5,115.24/x
  3. Step 3: Cross multiply
    12,133.46x = 18,204.64 × 5,115.24
  4. Step 4: Simplify right side
    12,133.46x = 93,121,102.71
  5. Step 5: Solve for x
    x = 93,121,102.71/12,133.46
  6. Step 6: Final answer
    x = 7,674.74

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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.