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Finding the Fourth Proportional to 23,629.69, 32,609.07 and 13,019.09

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Solution

The fourth proportional to 23,629.69, 32,609.07 and 13,019.09 is: 17,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.69 : 32,609.07 = 13,019.09 : x
  2. Step 2: Convert to fraction form
    23,629.69/32,609.07 = 13,019.09/x
  3. Step 3: Cross multiply
    23,629.69x = 32,609.07 × 13,019.09
  4. Step 4: Simplify right side
    23,629.69x = 424,540,417.15
  5. Step 5: Solve for x
    x = 424,540,417.15/23,629.69
  6. Step 6: Final answer
    x = 17,966.40

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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.