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Finding the Fourth Proportional to 21,518.65, 32,277.98 and 8,380.25

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Solution

The fourth proportional to 21,518.65, 32,277.98 and 8,380.25 is: 12,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,518.65 : 32,277.98 = 8,380.25 : x
  2. Step 2: Convert to fraction form
    21,518.65/32,277.98 = 8,380.25/x
  3. Step 3: Cross multiply
    21,518.65x = 32,277.98 × 8,380.25
  4. Step 4: Simplify right side
    21,518.65x = 270,497,541.90
  5. Step 5: Solve for x
    x = 270,497,541.90/21,518.65
  6. Step 6: Final answer
    x = 12,570.38

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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.