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Finding the Fourth Proportional to 12,146.72, 16,762.77 and 6,695.96

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Solution

The fourth proportional to 12,146.72, 16,762.77 and 6,695.96 is: 9,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.72 : 16,762.77 = 6,695.96 : x
  2. Step 2: Convert to fraction form
    12,146.72/16,762.77 = 6,695.96/x
  3. Step 3: Cross multiply
    12,146.72x = 16,762.77 × 6,695.96
  4. Step 4: Simplify right side
    12,146.72x = 112,242,753.60
  5. Step 5: Solve for x
    x = 112,242,753.60/12,146.72
  6. Step 6: Final answer
    x = 9,240.59

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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.