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Finding the Fourth Proportional to 24,152.72, 36,236.94 and 11,674.16

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Solution

The fourth proportional to 24,152.72, 36,236.94 and 11,674.16 is: 17,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,152.72 : 36,236.94 = 11,674.16 : x
  2. Step 2: Convert to fraction form
    24,152.72/36,236.94 = 11,674.16/x
  3. Step 3: Cross multiply
    24,152.72x = 36,236.94 × 11,674.16
  4. Step 4: Simplify right side
    24,152.72x = 423,035,835.47
  5. Step 5: Solve for x
    x = 423,035,835.47/24,152.72
  6. Step 6: Final answer
    x = 17,515.04

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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.