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Finding the Fourth Proportional to 27,205.49, 40,783.64 and 9,671.22

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Solution

The fourth proportional to 27,205.49, 40,783.64 and 9,671.22 is: 14,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.49 : 40,783.64 = 9,671.22 : x
  2. Step 2: Convert to fraction form
    27,205.49/40,783.64 = 9,671.22/x
  3. Step 3: Cross multiply
    27,205.49x = 40,783.64 × 9,671.22
  4. Step 4: Simplify right side
    27,205.49x = 394,427,506.48
  5. Step 5: Solve for x
    x = 394,427,506.48/27,205.49
  6. Step 6: Final answer
    x = 14,498.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.