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Finding the Fourth Proportional to 23,833.85, 32,892.29 and 13,762.72

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Solution

The fourth proportional to 23,833.85, 32,892.29 and 13,762.72 is: 18,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.85 : 32,892.29 = 13,762.72 : x
  2. Step 2: Convert to fraction form
    23,833.85/32,892.29 = 13,762.72/x
  3. Step 3: Cross multiply
    23,833.85x = 32,892.29 × 13,762.72
  4. Step 4: Simplify right side
    23,833.85x = 452,687,226.38
  5. Step 5: Solve for x
    x = 452,687,226.38/23,833.85
  6. Step 6: Final answer
    x = 18,993.46

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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.