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Finding the Fourth Proportional to 21,476.77, 32,189.87 and 12,596.40

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Solution

The fourth proportional to 21,476.77, 32,189.87 and 12,596.40 is: 18,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.77 : 32,189.87 = 12,596.40 : x
  2. Step 2: Convert to fraction form
    21,476.77/32,189.87 = 12,596.40/x
  3. Step 3: Cross multiply
    21,476.77x = 32,189.87 × 12,596.40
  4. Step 4: Simplify right side
    21,476.77x = 405,476,509.96
  5. Step 5: Solve for x
    x = 405,476,509.96/21,476.77
  6. Step 6: Final answer
    x = 18,879.77

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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.