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Finding the Fourth Proportional to 23,765.97, 32,762.10 and 18,090.83

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Solution

The fourth proportional to 23,765.97, 32,762.10 and 18,090.83 is: 24,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.97 : 32,762.10 = 18,090.83 : x
  2. Step 2: Convert to fraction form
    23,765.97/32,762.10 = 18,090.83/x
  3. Step 3: Cross multiply
    23,765.97x = 32,762.10 × 18,090.83
  4. Step 4: Simplify right side
    23,765.97x = 592,693,581.54
  5. Step 5: Solve for x
    x = 592,693,581.54/23,765.97
  6. Step 6: Final answer
    x = 24,938.75

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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.