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Finding the Fourth Proportional to 21,357.09, 32,035.23 and 12,533.76

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Solution

The fourth proportional to 21,357.09, 32,035.23 and 12,533.76 is: 18,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.09 : 32,035.23 = 12,533.76 : x
  2. Step 2: Convert to fraction form
    21,357.09/32,035.23 = 12,533.76/x
  3. Step 3: Cross multiply
    21,357.09x = 32,035.23 × 12,533.76
  4. Step 4: Simplify right side
    21,357.09x = 401,521,884.36
  5. Step 5: Solve for x
    x = 401,521,884.36/21,357.09
  6. Step 6: Final answer
    x = 18,800.40

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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.