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Finding the Fourth Proportional to 12,006.36, 16,567.20 and 6,700.32

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Solution

The fourth proportional to 12,006.36, 16,567.20 and 6,700.32 is: 9,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.36 : 16,567.20 = 6,700.32 : x
  2. Step 2: Convert to fraction form
    12,006.36/16,567.20 = 6,700.32/x
  3. Step 3: Cross multiply
    12,006.36x = 16,567.20 × 6,700.32
  4. Step 4: Simplify right side
    12,006.36x = 111,005,541.50
  5. Step 5: Solve for x
    x = 111,005,541.50/12,006.36
  6. Step 6: Final answer
    x = 9,245.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.