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Finding the Fourth Proportional to 14,474.86, 21,692.54 and 8,152.76

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Solution

The fourth proportional to 14,474.86, 21,692.54 and 8,152.76 is: 12,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.86 : 21,692.54 = 8,152.76 : x
  2. Step 2: Convert to fraction form
    14,474.86/21,692.54 = 8,152.76/x
  3. Step 3: Cross multiply
    14,474.86x = 21,692.54 × 8,152.76
  4. Step 4: Simplify right side
    14,474.86x = 176,854,072.41
  5. Step 5: Solve for x
    x = 176,854,072.41/14,474.86
  6. Step 6: Final answer
    x = 12,218.02

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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.