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Finding the Fourth Proportional to 23,762.17, 32,791.31 and 13,151.17

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Solution

The fourth proportional to 23,762.17, 32,791.31 and 13,151.17 is: 18,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.17 : 32,791.31 = 13,151.17 : x
  2. Step 2: Convert to fraction form
    23,762.17/32,791.31 = 13,151.17/x
  3. Step 3: Cross multiply
    23,762.17x = 32,791.31 × 13,151.17
  4. Step 4: Simplify right side
    23,762.17x = 431,244,026.58
  5. Step 5: Solve for x
    x = 431,244,026.58/23,762.17
  6. Step 6: Final answer
    x = 18,148.34

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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.