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Finding the Fourth Proportional to 12,142.16, 16,741.32 and 9,619.28

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Solution

The fourth proportional to 12,142.16, 16,741.32 and 9,619.28 is: 13,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.16 : 16,741.32 = 9,619.28 : x
  2. Step 2: Convert to fraction form
    12,142.16/16,741.32 = 9,619.28/x
  3. Step 3: Cross multiply
    12,142.16x = 16,741.32 × 9,619.28
  4. Step 4: Simplify right side
    12,142.16x = 161,039,444.65
  5. Step 5: Solve for x
    x = 161,039,444.65/12,142.16
  6. Step 6: Final answer
    x = 13,262.83

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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.