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Finding the Fourth Proportional to 16,148.44, 24,222.76 and 4,461.76

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Solution

The fourth proportional to 16,148.44, 24,222.76 and 4,461.76 is: 6,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.44 : 24,222.76 = 4,461.76 : x
  2. Step 2: Convert to fraction form
    16,148.44/24,222.76 = 4,461.76/x
  3. Step 3: Cross multiply
    16,148.44x = 24,222.76 × 4,461.76
  4. Step 4: Simplify right side
    16,148.44x = 108,076,069.95
  5. Step 5: Solve for x
    x = 108,076,069.95/16,148.44
  6. Step 6: Final answer
    x = 6,692.66

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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.