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Finding the Fourth Proportional to 21,702.78, 32,559.18 and 6,709.33

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Solution

The fourth proportional to 21,702.78, 32,559.18 and 6,709.33 is: 10,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.78 : 32,559.18 = 6,709.33 : x
  2. Step 2: Convert to fraction form
    21,702.78/32,559.18 = 6,709.33/x
  3. Step 3: Cross multiply
    21,702.78x = 32,559.18 × 6,709.33
  4. Step 4: Simplify right side
    21,702.78x = 218,450,283.15
  5. Step 5: Solve for x
    x = 218,450,283.15/21,702.78
  6. Step 6: Final answer
    x = 10,065.54

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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.