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Finding the Fourth Proportional to 23,173.04, 31,978.77 and 12,562.58

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Solution

The fourth proportional to 23,173.04, 31,978.77 and 12,562.58 is: 17,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.04 : 31,978.77 = 12,562.58 : x
  2. Step 2: Convert to fraction form
    23,173.04/31,978.77 = 12,562.58/x
  3. Step 3: Cross multiply
    23,173.04x = 31,978.77 × 12,562.58
  4. Step 4: Simplify right side
    23,173.04x = 401,735,696.53
  5. Step 5: Solve for x
    x = 401,735,696.53/23,173.04
  6. Step 6: Final answer
    x = 17,336.34

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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.