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Finding the Fourth Proportional to 22,315.84, 33,465.15 and 6,515.57

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Solution

The fourth proportional to 22,315.84, 33,465.15 and 6,515.57 is: 9,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.84 : 33,465.15 = 6,515.57 : x
  2. Step 2: Convert to fraction form
    22,315.84/33,465.15 = 6,515.57/x
  3. Step 3: Cross multiply
    22,315.84x = 33,465.15 × 6,515.57
  4. Step 4: Simplify right side
    22,315.84x = 218,044,611.05
  5. Step 5: Solve for x
    x = 218,044,611.05/22,315.84
  6. Step 6: Final answer
    x = 9,770.85

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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.