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Finding the Fourth Proportional to 12,051.85, 16,617.39 and 9,659.91

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Solution

The fourth proportional to 12,051.85, 16,617.39 and 9,659.91 is: 13,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.85 : 16,617.39 = 9,659.91 : x
  2. Step 2: Convert to fraction form
    12,051.85/16,617.39 = 9,659.91/x
  3. Step 3: Cross multiply
    12,051.85x = 16,617.39 × 9,659.91
  4. Step 4: Simplify right side
    12,051.85x = 160,522,491.83
  5. Step 5: Solve for x
    x = 160,522,491.83/12,051.85
  6. Step 6: Final answer
    x = 13,319.32

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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.