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Finding the Fourth Proportional to 27,872.10, 41,813.01 and 9,146.93

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Solution

The fourth proportional to 27,872.10, 41,813.01 and 9,146.93 is: 13,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.10 : 41,813.01 = 9,146.93 : x
  2. Step 2: Convert to fraction form
    27,872.10/41,813.01 = 9,146.93/x
  3. Step 3: Cross multiply
    27,872.10x = 41,813.01 × 9,146.93
  4. Step 4: Simplify right side
    27,872.10x = 382,460,466.49
  5. Step 5: Solve for x
    x = 382,460,466.49/27,872.10
  6. Step 6: Final answer
    x = 13,721.98

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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.