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Finding the Fourth Proportional to 21,685.82, 32,533.26 and 12,330.14

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Solution

The fourth proportional to 21,685.82, 32,533.26 and 12,330.14 is: 18,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.82 : 32,533.26 = 12,330.14 : x
  2. Step 2: Convert to fraction form
    21,685.82/32,533.26 = 12,330.14/x
  3. Step 3: Cross multiply
    21,685.82x = 32,533.26 × 12,330.14
  4. Step 4: Simplify right side
    21,685.82x = 401,139,650.46
  5. Step 5: Solve for x
    x = 401,139,650.46/21,685.82
  6. Step 6: Final answer
    x = 18,497.79

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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.