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Finding the Fourth Proportional to 23,169.91, 31,973.62 and 12,559.32

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Solution

The fourth proportional to 23,169.91, 31,973.62 and 12,559.32 is: 17,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.91 : 31,973.62 = 12,559.32 : x
  2. Step 2: Convert to fraction form
    23,169.91/31,973.62 = 12,559.32/x
  3. Step 3: Cross multiply
    23,169.91x = 31,973.62 × 12,559.32
  4. Step 4: Simplify right side
    23,169.91x = 401,566,702.47
  5. Step 5: Solve for x
    x = 401,566,702.47/23,169.91
  6. Step 6: Final answer
    x = 17,331.39

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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.