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Finding the Fourth Proportional to 23,629.50, 32,608.71 and 13,019.13

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Solution

The fourth proportional to 23,629.50, 32,608.71 and 13,019.13 is: 17,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.50 : 32,608.71 = 13,019.13 : x
  2. Step 2: Convert to fraction form
    23,629.50/32,608.71 = 13,019.13/x
  3. Step 3: Cross multiply
    23,629.50x = 32,608.71 × 13,019.13
  4. Step 4: Simplify right side
    23,629.50x = 424,537,034.62
  5. Step 5: Solve for x
    x = 424,537,034.62/23,629.50
  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.