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Finding the Fourth Proportional to 24,314.29, 36,485.79 and 10,273.41

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Solution

The fourth proportional to 24,314.29, 36,485.79 and 10,273.41 is: 15,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.29 : 36,485.79 = 10,273.41 : x
  2. Step 2: Convert to fraction form
    24,314.29/36,485.79 = 10,273.41/x
  3. Step 3: Cross multiply
    24,314.29x = 36,485.79 × 10,273.41
  4. Step 4: Simplify right side
    24,314.29x = 374,833,479.84
  5. Step 5: Solve for x
    x = 374,833,479.84/24,314.29
  6. Step 6: Final answer
    x = 15,416.18

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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.