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Finding the Fourth Proportional to 21,521.84, 32,295.72 and 8,380.40

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Solution

The fourth proportional to 21,521.84, 32,295.72 and 8,380.40 is: 12,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.84 : 32,295.72 = 8,380.40 : x
  2. Step 2: Convert to fraction form
    21,521.84/32,295.72 = 8,380.40/x
  3. Step 3: Cross multiply
    21,521.84x = 32,295.72 × 8,380.40
  4. Step 4: Simplify right side
    21,521.84x = 270,651,051.89
  5. Step 5: Solve for x
    x = 270,651,051.89/21,521.84
  6. Step 6: Final answer
    x = 12,575.65

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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.