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Finding the Fourth Proportional to 27,447.68, 41,178.36 and 12,666.90

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Solution

The fourth proportional to 27,447.68, 41,178.36 and 12,666.90 is: 19,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.68 : 41,178.36 = 12,666.90 : x
  2. Step 2: Convert to fraction form
    27,447.68/41,178.36 = 12,666.90/x
  3. Step 3: Cross multiply
    27,447.68x = 41,178.36 × 12,666.90
  4. Step 4: Simplify right side
    27,447.68x = 521,602,168.28
  5. Step 5: Solve for x
    x = 521,602,168.28/27,447.68
  6. Step 6: Final answer
    x = 19,003.51

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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.