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Finding the Fourth Proportional to 17,754.46, 24,502.53 and 9,797.38

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Solution

The fourth proportional to 17,754.46, 24,502.53 and 9,797.38 is: 13,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.46 : 24,502.53 = 9,797.38 : x
  2. Step 2: Convert to fraction form
    17,754.46/24,502.53 = 9,797.38/x
  3. Step 3: Cross multiply
    17,754.46x = 24,502.53 × 9,797.38
  4. Step 4: Simplify right side
    17,754.46x = 240,060,597.37
  5. Step 5: Solve for x
    x = 240,060,597.37/17,754.46
  6. Step 6: Final answer
    x = 13,521.14

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Why These Related Problems?

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