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Finding the Fourth Proportional to 27,672.19, 41,506.75 and 12,089.77

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Solution

The fourth proportional to 27,672.19, 41,506.75 and 12,089.77 is: 18,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.19 : 41,506.75 = 12,089.77 : x
  2. Step 2: Convert to fraction form
    27,672.19/41,506.75 = 12,089.77/x
  3. Step 3: Cross multiply
    27,672.19x = 41,506.75 × 12,089.77
  4. Step 4: Simplify right side
    27,672.19x = 501,807,060.95
  5. Step 5: Solve for x
    x = 501,807,060.95/27,672.19
  6. Step 6: Final answer
    x = 18,133.98

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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.