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Finding the Fourth Proportional to 27,158.89, 40,738.47 and 8,438.53

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Solution

The fourth proportional to 27,158.89, 40,738.47 and 8,438.53 is: 12,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158.89 : 40,738.47 = 8,438.53 : x
  2. Step 2: Convert to fraction form
    27,158.89/40,738.47 = 8,438.53/x
  3. Step 3: Cross multiply
    27,158.89x = 40,738.47 × 8,438.53
  4. Step 4: Simplify right side
    27,158.89x = 343,772,801.25
  5. Step 5: Solve for x
    x = 343,772,801.25/27,158.89
  6. Step 6: Final answer
    x = 12,657.84

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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.