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Finding the Fourth Proportional to 21,534.30, 32,301.42 and 5,951.88

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Solution

The fourth proportional to 21,534.30, 32,301.42 and 5,951.88 is: 8,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.30 : 32,301.42 = 5,951.88 : x
  2. Step 2: Convert to fraction form
    21,534.30/32,301.42 = 5,951.88/x
  3. Step 3: Cross multiply
    21,534.30x = 32,301.42 × 5,951.88
  4. Step 4: Simplify right side
    21,534.30x = 192,254,175.67
  5. Step 5: Solve for x
    x = 192,254,175.67/21,534.30
  6. Step 6: Final answer
    x = 8,927.81

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