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Finding the Fourth Proportional to 17,872.47, 24,664.41 and 9,914.58

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Solution

The fourth proportional to 17,872.47, 24,664.41 and 9,914.58 is: 13,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.47 : 24,664.41 = 9,914.58 : x
  2. Step 2: Convert to fraction form
    17,872.47/24,664.41 = 9,914.58/x
  3. Step 3: Cross multiply
    17,872.47x = 24,664.41 × 9,914.58
  4. Step 4: Simplify right side
    17,872.47x = 244,537,266.10
  5. Step 5: Solve for x
    x = 244,537,266.10/17,872.47
  6. Step 6: Final answer
    x = 13,682.34

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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.