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Finding the Fourth Proportional to 28,176.56, 42,223.14 and 11,516.48

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Solution

The fourth proportional to 28,176.56, 42,223.14 and 11,516.48 is: 17,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176.56 : 42,223.14 = 11,516.48 : x
  2. Step 2: Convert to fraction form
    28,176.56/42,223.14 = 11,516.48/x
  3. Step 3: Cross multiply
    28,176.56x = 42,223.14 × 11,516.48
  4. Step 4: Simplify right side
    28,176.56x = 486,261,947.35
  5. Step 5: Solve for x
    x = 486,261,947.35/28,176.56
  6. Step 6: Final answer
    x = 17,257.68

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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.