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Finding the Fourth Proportional to 27,722.96, 38,271.50 and 17,118.44

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Solution

The fourth proportional to 27,722.96, 38,271.50 and 17,118.44 is: 23,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.96 : 38,271.50 = 17,118.44 : x
  2. Step 2: Convert to fraction form
    27,722.96/38,271.50 = 17,118.44/x
  3. Step 3: Cross multiply
    27,722.96x = 38,271.50 × 17,118.44
  4. Step 4: Simplify right side
    27,722.96x = 655,148,376.46
  5. Step 5: Solve for x
    x = 655,148,376.46/27,722.96
  6. Step 6: Final answer
    x = 23,631.98

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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.