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Finding the Fourth Proportional to 16,578.64, 24,874.80 and 6,715.41

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Solution

The fourth proportional to 16,578.64, 24,874.80 and 6,715.41 is: 10,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.64 : 24,874.80 = 6,715.41 : x
  2. Step 2: Convert to fraction form
    16,578.64/24,874.80 = 6,715.41/x
  3. Step 3: Cross multiply
    16,578.64x = 24,874.80 × 6,715.41
  4. Step 4: Simplify right side
    16,578.64x = 167,044,480.67
  5. Step 5: Solve for x
    x = 167,044,480.67/16,578.64
  6. Step 6: Final answer
    x = 10,075.89

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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.