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Finding the Fourth Proportional to 23,789.10, 32,851.02 and 17,810.38

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Solution

The fourth proportional to 23,789.10, 32,851.02 and 17,810.38 is: 24,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.10 : 32,851.02 = 17,810.38 : x
  2. Step 2: Convert to fraction form
    23,789.10/32,851.02 = 17,810.38/x
  3. Step 3: Cross multiply
    23,789.10x = 32,851.02 × 17,810.38
  4. Step 4: Simplify right side
    23,789.10x = 585,089,149.59
  5. Step 5: Solve for x
    x = 585,089,149.59/23,789.10
  6. Step 6: Final answer
    x = 24,594.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.