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Finding the Fourth Proportional to 23,203.17, 32,020.38 and 12,592.80

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Solution

The fourth proportional to 23,203.17, 32,020.38 and 12,592.80 is: 17,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.17 : 32,020.38 = 12,592.80 : x
  2. Step 2: Convert to fraction form
    23,203.17/32,020.38 = 12,592.80/x
  3. Step 3: Cross multiply
    23,203.17x = 32,020.38 × 12,592.80
  4. Step 4: Simplify right side
    23,203.17x = 403,226,241.26
  5. Step 5: Solve for x
    x = 403,226,241.26/23,203.17
  6. Step 6: Final answer
    x = 17,378.07

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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.