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Finding the Fourth Proportional to 21,704.64, 32,537.76 and 9,385.92

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Solution

The fourth proportional to 21,704.64, 32,537.76 and 9,385.92 is: 14,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.64 : 32,537.76 = 9,385.92 : x
  2. Step 2: Convert to fraction form
    21,704.64/32,537.76 = 9,385.92/x
  3. Step 3: Cross multiply
    21,704.64x = 32,537.76 × 9,385.92
  4. Step 4: Simplify right side
    21,704.64x = 305,396,812.34
  5. Step 5: Solve for x
    x = 305,396,812.34/21,704.64
  6. Step 6: Final answer
    x = 14,070.58

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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.