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Finding the Fourth Proportional to 17,797.34, 24,558.16 and 9,838.46

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Solution

The fourth proportional to 17,797.34, 24,558.16 and 9,838.46 is: 13,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.34 : 24,558.16 = 9,838.46 : x
  2. Step 2: Convert to fraction form
    17,797.34/24,558.16 = 9,838.46/x
  3. Step 3: Cross multiply
    17,797.34x = 24,558.16 × 9,838.46
  4. Step 4: Simplify right side
    17,797.34x = 241,614,474.83
  5. Step 5: Solve for x
    x = 241,614,474.83/17,797.34
  6. Step 6: Final answer
    x = 13,575.88

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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.