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Finding the Fourth Proportional to 27,617.34, 38,113.50 and 16,293.42

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Solution

The fourth proportional to 27,617.34, 38,113.50 and 16,293.42 is: 22,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.34 : 38,113.50 = 16,293.42 : x
  2. Step 2: Convert to fraction form
    27,617.34/38,113.50 = 16,293.42/x
  3. Step 3: Cross multiply
    27,617.34x = 38,113.50 × 16,293.42
  4. Step 4: Simplify right side
    27,617.34x = 620,999,263.17
  5. Step 5: Solve for x
    x = 620,999,263.17/27,617.34
  6. Step 6: Final answer
    x = 22,485.85

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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.