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Finding the Fourth Proportional to 38,841.48, 58,255.74 and 11,133

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Solution

The fourth proportional to 38,841.48, 58,255.74 and 11,133 is: 16,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,841.48 : 58,255.74 = 11,133 : x
  2. Step 2: Convert to fraction form
    38,841.48/58,255.74 = 11,133/x
  3. Step 3: Cross multiply
    38,841.48x = 58,255.74 × 11,133
  4. Step 4: Simplify right side
    38,841.48x = 648,561,153.42
  5. Step 5: Solve for x
    x = 648,561,153.42/38,841.48
  6. Step 6: Final answer
    x = 16,697.64

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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.