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Finding the Fourth Proportional to 16,684.42, 23,032.84 and 9,609.48

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Solution

The fourth proportional to 16,684.42, 23,032.84 and 9,609.48 is: 13,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.42 : 23,032.84 = 9,609.48 : x
  2. Step 2: Convert to fraction form
    16,684.42/23,032.84 = 9,609.48/x
  3. Step 3: Cross multiply
    16,684.42x = 23,032.84 × 9,609.48
  4. Step 4: Simplify right side
    16,684.42x = 221,333,615.32
  5. Step 5: Solve for x
    x = 221,333,615.32/16,684.42
  6. Step 6: Final answer
    x = 13,265.89

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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.