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Finding the Fourth Proportional to 13,647.12, 18,832.81 and 7,678.79

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Solution

The fourth proportional to 13,647.12, 18,832.81 and 7,678.79 is: 10,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.12 : 18,832.81 = 7,678.79 : x
  2. Step 2: Convert to fraction form
    13,647.12/18,832.81 = 7,678.79/x
  3. Step 3: Cross multiply
    13,647.12x = 18,832.81 × 7,678.79
  4. Step 4: Simplify right side
    13,647.12x = 144,613,079.74
  5. Step 5: Solve for x
    x = 144,613,079.74/13,647.12
  6. Step 6: Final answer
    x = 10,596.60

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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.