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Finding the Fourth Proportional to 23,189.92, 32,002.32 and 12,580

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Solution

The fourth proportional to 23,189.92, 32,002.32 and 12,580 is: 17,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.92 : 32,002.32 = 12,580 : x
  2. Step 2: Convert to fraction form
    23,189.92/32,002.32 = 12,580/x
  3. Step 3: Cross multiply
    23,189.92x = 32,002.32 × 12,580
  4. Step 4: Simplify right side
    23,189.92x = 402,589,185.60
  5. Step 5: Solve for x
    x = 402,589,185.60/23,189.92
  6. Step 6: Final answer
    x = 17,360.52

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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.