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Finding the Fourth Proportional to 23,208.45, 32,027.69 and 12,598.09

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Solution

The fourth proportional to 23,208.45, 32,027.69 and 12,598.09 is: 17,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.45 : 32,027.69 = 12,598.09 : x
  2. Step 2: Convert to fraction form
    23,208.45/32,027.69 = 12,598.09/x
  3. Step 3: Cross multiply
    23,208.45x = 32,027.69 × 12,598.09
  4. Step 4: Simplify right side
    23,208.45x = 403,487,721.11
  5. Step 5: Solve for x
    x = 403,487,721.11/23,208.45
  6. Step 6: Final answer
    x = 17,385.38

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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.