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Finding the Fourth Proportional to 12,005.57, 16,567.79 and 6,700.88

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Solution

The fourth proportional to 12,005.57, 16,567.79 and 6,700.88 is: 9,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.57 : 16,567.79 = 6,700.88 : x
  2. Step 2: Convert to fraction form
    12,005.57/16,567.79 = 6,700.88/x
  3. Step 3: Cross multiply
    12,005.57x = 16,567.79 × 6,700.88
  4. Step 4: Simplify right side
    12,005.57x = 111,018,656.31
  5. Step 5: Solve for x
    x = 111,018,656.31/12,005.57
  6. Step 6: Final answer
    x = 9,247.27

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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.