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Finding the Fourth Proportional to 12,187.46, 18,242.12 and 6,557.24

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Solution

The fourth proportional to 12,187.46, 18,242.12 and 6,557.24 is: 9,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.46 : 18,242.12 = 6,557.24 : x
  2. Step 2: Convert to fraction form
    12,187.46/18,242.12 = 6,557.24/x
  3. Step 3: Cross multiply
    12,187.46x = 18,242.12 × 6,557.24
  4. Step 4: Simplify right side
    12,187.46x = 119,617,884.13
  5. Step 5: Solve for x
    x = 119,617,884.13/12,187.46
  6. Step 6: Final answer
    x = 9,814.84

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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.