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Finding the Fourth Proportional to 23,435.90, 32,341.59 and 12,825.62

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Solution

The fourth proportional to 23,435.90, 32,341.59 and 12,825.62 is: 17,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.90 : 32,341.59 = 12,825.62 : x
  2. Step 2: Convert to fraction form
    23,435.90/32,341.59 = 12,825.62/x
  3. Step 3: Cross multiply
    23,435.90x = 32,341.59 × 12,825.62
  4. Step 4: Simplify right side
    23,435.90x = 414,800,943.54
  5. Step 5: Solve for x
    x = 414,800,943.54/23,435.90
  6. Step 6: Final answer
    x = 17,699.38

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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.