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Finding the Fourth Proportional to 24,510.44, 33,832.10 and 14,438.20

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Solution

The fourth proportional to 24,510.44, 33,832.10 and 14,438.20 is: 19,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.44 : 33,832.10 = 14,438.20 : x
  2. Step 2: Convert to fraction form
    24,510.44/33,832.10 = 14,438.20/x
  3. Step 3: Cross multiply
    24,510.44x = 33,832.10 × 14,438.20
  4. Step 4: Simplify right side
    24,510.44x = 488,474,626.22
  5. Step 5: Solve for x
    x = 488,474,626.22/24,510.44
  6. Step 6: Final answer
    x = 19,929.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.