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Finding the Fourth Proportional to 27,740.82, 38,282.28 and 14,993.98

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Solution

The fourth proportional to 27,740.82, 38,282.28 and 14,993.98 is: 20,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.82 : 38,282.28 = 14,993.98 : x
  2. Step 2: Convert to fraction form
    27,740.82/38,282.28 = 14,993.98/x
  3. Step 3: Cross multiply
    27,740.82x = 38,282.28 × 14,993.98
  4. Step 4: Simplify right side
    27,740.82x = 574,003,740.67
  5. Step 5: Solve for x
    x = 574,003,740.67/27,740.82
  6. Step 6: Final answer
    x = 20,691.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.