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Finding the Fourth Proportional to 17,611.17, 24,304.23 and 9,654

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Solution

The fourth proportional to 17,611.17, 24,304.23 and 9,654 is: 13,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611.17 : 24,304.23 = 9,654 : x
  2. Step 2: Convert to fraction form
    17,611.17/24,304.23 = 9,654/x
  3. Step 3: Cross multiply
    17,611.17x = 24,304.23 × 9,654
  4. Step 4: Simplify right side
    17,611.17x = 234,633,036.42
  5. Step 5: Solve for x
    x = 234,633,036.42/17,611.17
  6. Step 6: Final answer
    x = 13,322.97

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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.