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Finding the Fourth Proportional to 21,207.26, 31,810.88 and 6,415.84

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Solution

The fourth proportional to 21,207.26, 31,810.88 and 6,415.84 is: 9,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.26 : 31,810.88 = 6,415.84 : x
  2. Step 2: Convert to fraction form
    21,207.26/31,810.88 = 6,415.84/x
  3. Step 3: Cross multiply
    21,207.26x = 31,810.88 × 6,415.84
  4. Step 4: Simplify right side
    21,207.26x = 204,093,516.34
  5. Step 5: Solve for x
    x = 204,093,516.34/21,207.26
  6. Step 6: Final answer
    x = 9,623.76

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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.