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Finding the Fourth Proportional to 21,500.72, 32,261 and 9,817.52

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Solution

The fourth proportional to 21,500.72, 32,261 and 9,817.52 is: 14,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.72 : 32,261 = 9,817.52 : x
  2. Step 2: Convert to fraction form
    21,500.72/32,261 = 9,817.52/x
  3. Step 3: Cross multiply
    21,500.72x = 32,261 × 9,817.52
  4. Step 4: Simplify right side
    21,500.72x = 316,723,012.72
  5. Step 5: Solve for x
    x = 316,723,012.72/21,500.72
  6. Step 6: Final answer
    x = 14,730.81

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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.