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Finding the Fourth Proportional to 23,431.39, 32,335.98 and 12,821.74

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Solution

The fourth proportional to 23,431.39, 32,335.98 and 12,821.74 is: 17,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.39 : 32,335.98 = 12,821.74 : x
  2. Step 2: Convert to fraction form
    23,431.39/32,335.98 = 12,821.74/x
  3. Step 3: Cross multiply
    23,431.39x = 32,335.98 × 12,821.74
  4. Step 4: Simplify right side
    23,431.39x = 414,603,528.21
  5. Step 5: Solve for x
    x = 414,603,528.21/23,431.39
  6. Step 6: Final answer
    x = 17,694.36

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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.