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Finding the Fourth Proportional to 23,631.59, 32,613.05 and 13,021.22

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Solution

The fourth proportional to 23,631.59, 32,613.05 and 13,021.22 is: 17,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.59 : 32,613.05 = 13,021.22 : x
  2. Step 2: Convert to fraction form
    23,631.59/32,613.05 = 13,021.22/x
  3. Step 3: Cross multiply
    23,631.59x = 32,613.05 × 13,021.22
  4. Step 4: Simplify right side
    23,631.59x = 424,661,698.92
  5. Step 5: Solve for x
    x = 424,661,698.92/23,631.59
  6. Step 6: Final answer
    x = 17,970.09

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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.