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Finding the Fourth Proportional to 23,730.72, 35,583.84 and 13,872.84

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Solution

The fourth proportional to 23,730.72, 35,583.84 and 13,872.84 is: 20,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.72 : 35,583.84 = 13,872.84 : x
  2. Step 2: Convert to fraction form
    23,730.72/35,583.84 = 13,872.84/x
  3. Step 3: Cross multiply
    23,730.72x = 35,583.84 × 13,872.84
  4. Step 4: Simplify right side
    23,730.72x = 493,648,918.91
  5. Step 5: Solve for x
    x = 493,648,918.91/23,730.72
  6. Step 6: Final answer
    x = 20,802.10

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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.