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Finding the Fourth Proportional to 23,209.70, 32,029.43 and 12,599.33

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Solution

The fourth proportional to 23,209.70, 32,029.43 and 12,599.33 is: 17,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.70 : 32,029.43 = 12,599.33 : x
  2. Step 2: Convert to fraction form
    23,209.70/32,029.43 = 12,599.33/x
  3. Step 3: Cross multiply
    23,209.70x = 32,029.43 × 12,599.33
  4. Step 4: Simplify right side
    23,209.70x = 403,549,135.14
  5. Step 5: Solve for x
    x = 403,549,135.14/23,209.70
  6. Step 6: Final answer
    x = 17,387.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.