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Finding the Fourth Proportional to 21,536, 32,304 and 5,741.08

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Solution

The fourth proportional to 21,536, 32,304 and 5,741.08 is: 8,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536 : 32,304 = 5,741.08 : x
  2. Step 2: Convert to fraction form
    21,536/32,304 = 5,741.08/x
  3. Step 3: Cross multiply
    21,536x = 32,304 × 5,741.08
  4. Step 4: Simplify right side
    21,536x = 185,459,848.32
  5. Step 5: Solve for x
    x = 185,459,848.32/21,536
  6. Step 6: Final answer
    x = 8,611.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.