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Finding the Fourth Proportional to 27,647.16, 41,463.40 and 10,117.12

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Solution

The fourth proportional to 27,647.16, 41,463.40 and 10,117.12 is: 15,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.16 : 41,463.40 = 10,117.12 : x
  2. Step 2: Convert to fraction form
    27,647.16/41,463.40 = 10,117.12/x
  3. Step 3: Cross multiply
    27,647.16x = 41,463.40 × 10,117.12
  4. Step 4: Simplify right side
    27,647.16x = 419,490,193.41
  5. Step 5: Solve for x
    x = 419,490,193.41/27,647.16
  6. Step 6: Final answer
    x = 15,172.99

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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.