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Finding the Fourth Proportional to 21,730.68, 32,586.30 and 7,687.80

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Solution

The fourth proportional to 21,730.68, 32,586.30 and 7,687.80 is: 11,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.68 : 32,586.30 = 7,687.80 : x
  2. Step 2: Convert to fraction form
    21,730.68/32,586.30 = 7,687.80/x
  3. Step 3: Cross multiply
    21,730.68x = 32,586.30 × 7,687.80
  4. Step 4: Simplify right side
    21,730.68x = 250,516,957.14
  5. Step 5: Solve for x
    x = 250,516,957.14/21,730.68
  6. Step 6: Final answer
    x = 11,528.26

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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.