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Finding the Fourth Proportional to 27,675.84, 38,191.44 and 15,740.16

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Solution

The fourth proportional to 27,675.84, 38,191.44 and 15,740.16 is: 21,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.84 : 38,191.44 = 15,740.16 : x
  2. Step 2: Convert to fraction form
    27,675.84/38,191.44 = 15,740.16/x
  3. Step 3: Cross multiply
    27,675.84x = 38,191.44 × 15,740.16
  4. Step 4: Simplify right side
    27,675.84x = 601,139,376.23
  5. Step 5: Solve for x
    x = 601,139,376.23/27,675.84
  6. Step 6: Final answer
    x = 21,720.73

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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.