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Finding the Fourth Proportional to 21,780.68, 32,675.58 and 8,633.16

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Solution

The fourth proportional to 21,780.68, 32,675.58 and 8,633.16 is: 12,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.68 : 32,675.58 = 8,633.16 : x
  2. Step 2: Convert to fraction form
    21,780.68/32,675.58 = 8,633.16/x
  3. Step 3: Cross multiply
    21,780.68x = 32,675.58 × 8,633.16
  4. Step 4: Simplify right side
    21,780.68x = 282,093,510.23
  5. Step 5: Solve for x
    x = 282,093,510.23/21,780.68
  6. Step 6: Final answer
    x = 12,951.55

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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.