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Finding the Fourth Proportional to 41,580.48, 62,357.76 and 13,872

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Solution

The fourth proportional to 41,580.48, 62,357.76 and 13,872 is: 20,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580.48 : 62,357.76 = 13,872 : x
  2. Step 2: Convert to fraction form
    41,580.48/62,357.76 = 13,872/x
  3. Step 3: Cross multiply
    41,580.48x = 62,357.76 × 13,872
  4. Step 4: Simplify right side
    41,580.48x = 865,026,846.72
  5. Step 5: Solve for x
    x = 865,026,846.72/41,580.48
  6. Step 6: Final answer
    x = 20,803.68

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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.