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Finding the Fourth Proportional to 27,671.34, 41,506.86 and 12,872.10

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Solution

The fourth proportional to 27,671.34, 41,506.86 and 12,872.10 is: 19,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.34 : 41,506.86 = 12,872.10 : x
  2. Step 2: Convert to fraction form
    27,671.34/41,506.86 = 12,872.10/x
  3. Step 3: Cross multiply
    27,671.34x = 41,506.86 × 12,872.10
  4. Step 4: Simplify right side
    27,671.34x = 534,280,452.61
  5. Step 5: Solve for x
    x = 534,280,452.61/27,671.34
  6. Step 6: Final answer
    x = 19,308.08

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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.