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Finding the Fourth Proportional to 23,632.40, 32,612.82 and 13,022.48

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Solution

The fourth proportional to 23,632.40, 32,612.82 and 13,022.48 is: 17,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.40 : 32,612.82 = 13,022.48 : x
  2. Step 2: Convert to fraction form
    23,632.40/32,612.82 = 13,022.48/x
  3. Step 3: Cross multiply
    23,632.40x = 32,612.82 × 13,022.48
  4. Step 4: Simplify right side
    23,632.40x = 424,699,796.19
  5. Step 5: Solve for x
    x = 424,699,796.19/23,632.40
  6. Step 6: Final answer
    x = 17,971.08

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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.