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Finding the Fourth Proportional to 21,491.54, 32,237.32 and 6,701.65

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Solution

The fourth proportional to 21,491.54, 32,237.32 and 6,701.65 is: 10,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.54 : 32,237.32 = 6,701.65 : x
  2. Step 2: Convert to fraction form
    21,491.54/32,237.32 = 6,701.65/x
  3. Step 3: Cross multiply
    21,491.54x = 32,237.32 × 6,701.65
  4. Step 4: Simplify right side
    21,491.54x = 216,043,235.58
  5. Step 5: Solve for x
    x = 216,043,235.58/21,491.54
  6. Step 6: Final answer
    x = 10,052.48

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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.