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Finding the Fourth Proportional to 16,683.12, 23,024.64 and 9,609.36

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Solution

The fourth proportional to 16,683.12, 23,024.64 and 9,609.36 is: 13,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.12 : 23,024.64 = 9,609.36 : x
  2. Step 2: Convert to fraction form
    16,683.12/23,024.64 = 9,609.36/x
  3. Step 3: Cross multiply
    16,683.12x = 23,024.64 × 9,609.36
  4. Step 4: Simplify right side
    16,683.12x = 221,252,054.63
  5. Step 5: Solve for x
    x = 221,252,054.63/16,683.12
  6. Step 6: Final answer
    x = 13,262.03

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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.