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Finding the Fourth Proportional to 16,842.41, 23,238.24 and 12,358.37

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Solution

The fourth proportional to 16,842.41, 23,238.24 and 12,358.37 is: 17,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.41 : 23,238.24 = 12,358.37 : x
  2. Step 2: Convert to fraction form
    16,842.41/23,238.24 = 12,358.37/x
  3. Step 3: Cross multiply
    16,842.41x = 23,238.24 × 12,358.37
  4. Step 4: Simplify right side
    16,842.41x = 287,186,849.34
  5. Step 5: Solve for x
    x = 287,186,849.34/16,842.41
  6. Step 6: Final answer
    x = 17,051.41

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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.