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Finding the Fourth Proportional to 27,983.40, 41,989.67 and 12,397.38

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Solution

The fourth proportional to 27,983.40, 41,989.67 and 12,397.38 is: 18,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.40 : 41,989.67 = 12,397.38 : x
  2. Step 2: Convert to fraction form
    27,983.40/41,989.67 = 12,397.38/x
  3. Step 3: Cross multiply
    27,983.40x = 41,989.67 × 12,397.38
  4. Step 4: Simplify right side
    27,983.40x = 520,561,895.06
  5. Step 5: Solve for x
    x = 520,561,895.06/27,983.40
  6. Step 6: Final answer
    x = 18,602.52

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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.