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Finding the Fourth Proportional to 23,169.74, 31,973.38 and 12,559.14

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Solution

The fourth proportional to 23,169.74, 31,973.38 and 12,559.14 is: 17,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.74 : 31,973.38 = 12,559.14 : x
  2. Step 2: Convert to fraction form
    23,169.74/31,973.38 = 12,559.14/x
  3. Step 3: Cross multiply
    23,169.74x = 31,973.38 × 12,559.14
  4. Step 4: Simplify right side
    23,169.74x = 401,558,124.30
  5. Step 5: Solve for x
    x = 401,558,124.30/23,169.74
  6. Step 6: Final answer
    x = 17,331.15

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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.