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Finding the Fourth Proportional to 24,736.16, 37,110.06 and 8,096.13

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Solution

The fourth proportional to 24,736.16, 37,110.06 and 8,096.13 is: 12,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.16 : 37,110.06 = 8,096.13 : x
  2. Step 2: Convert to fraction form
    24,736.16/37,110.06 = 8,096.13/x
  3. Step 3: Cross multiply
    24,736.16x = 37,110.06 × 8,096.13
  4. Step 4: Simplify right side
    24,736.16x = 300,447,870.07
  5. Step 5: Solve for x
    x = 300,447,870.07/24,736.16
  6. Step 6: Final answer
    x = 12,146.10

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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.