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Finding the Fourth Proportional to 21,548.46, 32,321.72 and 7,511.68

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Solution

The fourth proportional to 21,548.46, 32,321.72 and 7,511.68 is: 11,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.46 : 32,321.72 = 7,511.68 : x
  2. Step 2: Convert to fraction form
    21,548.46/32,321.72 = 7,511.68/x
  3. Step 3: Cross multiply
    21,548.46x = 32,321.72 × 7,511.68
  4. Step 4: Simplify right side
    21,548.46x = 242,790,417.69
  5. Step 5: Solve for x
    x = 242,790,417.69/21,548.46
  6. Step 6: Final answer
    x = 11,267.18

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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.