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Finding the Fourth Proportional to 23,009, 31,752.42 and 13,073

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Solution

The fourth proportional to 23,009, 31,752.42 and 13,073 is: 18,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009 : 31,752.42 = 13,073 : x
  2. Step 2: Convert to fraction form
    23,009/31,752.42 = 13,073/x
  3. Step 3: Cross multiply
    23,009x = 31,752.42 × 13,073
  4. Step 4: Simplify right side
    23,009x = 415,099,386.66
  5. Step 5: Solve for x
    x = 415,099,386.66/23,009
  6. Step 6: Final answer
    x = 18,040.74

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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.