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Finding the Fourth Proportional to 12,429.36, 18,642.36 and 4,110.48

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Solution

The fourth proportional to 12,429.36, 18,642.36 and 4,110.48 is: 6,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.36 : 18,642.36 = 4,110.48 : x
  2. Step 2: Convert to fraction form
    12,429.36/18,642.36 = 4,110.48/x
  3. Step 3: Cross multiply
    12,429.36x = 18,642.36 × 4,110.48
  4. Step 4: Simplify right side
    12,429.36x = 76,629,047.93
  5. Step 5: Solve for x
    x = 76,629,047.93/12,429.36
  6. Step 6: Final answer
    x = 6,165.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.