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Finding the Fourth Proportional to 21,782.28, 32,632.28 and 12,871

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Solution

The fourth proportional to 21,782.28, 32,632.28 and 12,871 is: 19,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.28 : 32,632.28 = 12,871 : x
  2. Step 2: Convert to fraction form
    21,782.28/32,632.28 = 12,871/x
  3. Step 3: Cross multiply
    21,782.28x = 32,632.28 × 12,871
  4. Step 4: Simplify right side
    21,782.28x = 420,010,075.88
  5. Step 5: Solve for x
    x = 420,010,075.88/21,782.28
  6. Step 6: Final answer
    x = 19,282.19

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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.