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Finding the Fourth Proportional to 23,209.50, 32,029.14 and 12,599.14

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Solution

The fourth proportional to 23,209.50, 32,029.14 and 12,599.14 is: 17,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.50 : 32,029.14 = 12,599.14 : x
  2. Step 2: Convert to fraction form
    23,209.50/32,029.14 = 12,599.14/x
  3. Step 3: Cross multiply
    23,209.50x = 32,029.14 × 12,599.14
  4. Step 4: Simplify right side
    23,209.50x = 403,539,618.94
  5. Step 5: Solve for x
    x = 403,539,618.94/23,209.50
  6. Step 6: Final answer
    x = 17,386.83

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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.