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Finding the Fourth Proportional to 23,630.51, 32,609.71 and 13,021.13

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Solution

The fourth proportional to 23,630.51, 32,609.71 and 13,021.13 is: 17,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630.51 : 32,609.71 = 13,021.13 : x
  2. Step 2: Convert to fraction form
    23,630.51/32,609.71 = 13,021.13/x
  3. Step 3: Cross multiply
    23,630.51x = 32,609.71 × 13,021.13
  4. Step 4: Simplify right side
    23,630.51x = 424,615,273.17
  5. Step 5: Solve for x
    x = 424,615,273.17/23,630.51
  6. Step 6: Final answer
    x = 17,968.94

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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.