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Finding the Fourth Proportional to 23,112.51, 34,673.99 and 8,321.50

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Solution

The fourth proportional to 23,112.51, 34,673.99 and 8,321.50 is: 12,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.51 : 34,673.99 = 8,321.50 : x
  2. Step 2: Convert to fraction form
    23,112.51/34,673.99 = 8,321.50/x
  3. Step 3: Cross multiply
    23,112.51x = 34,673.99 × 8,321.50
  4. Step 4: Simplify right side
    23,112.51x = 288,539,607.79
  5. Step 5: Solve for x
    x = 288,539,607.79/23,112.51
  6. Step 6: Final answer
    x = 12,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.