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Finding the Fourth Proportional to 21,538.65, 32,304.32 and 5,952.63

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Solution

The fourth proportional to 21,538.65, 32,304.32 and 5,952.63 is: 8,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.65 : 32,304.32 = 5,952.63 : x
  2. Step 2: Convert to fraction form
    21,538.65/32,304.32 = 5,952.63/x
  3. Step 3: Cross multiply
    21,538.65x = 32,304.32 × 5,952.63
  4. Step 4: Simplify right side
    21,538.65x = 192,295,517.72
  5. Step 5: Solve for x
    x = 192,295,517.72/21,538.65
  6. Step 6: Final answer
    x = 8,927.93

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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.