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Finding the Fourth Proportional to 41,728.16, 62,602.47 and 12,146.27

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Solution

The fourth proportional to 41,728.16, 62,602.47 and 12,146.27 is: 18,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728.16 : 62,602.47 = 12,146.27 : x
  2. Step 2: Convert to fraction form
    41,728.16/62,602.47 = 12,146.27/x
  3. Step 3: Cross multiply
    41,728.16x = 62,602.47 × 12,146.27
  4. Step 4: Simplify right side
    41,728.16x = 760,386,190.27
  5. Step 5: Solve for x
    x = 760,386,190.27/41,728.16
  6. Step 6: Final answer
    x = 18,222.38

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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.